Solve 3/2(1.714448)+5+4/2(1.714448)-5=14(1.71448)+3/4*1.714448^2-25

$$\frac{ 3 }{ 2(1.714448)+5 } + \frac{ 4 }{ 2(1.714448)-5 } = \frac{ 14(1.71448)+3 }{ 4 \times { 1.714448 }^{ 2 } -25 }$$

Verify

Solution Steps

Multiply 2 and 1.714448 to get 3.428896.

$$\frac{3}{3.428896+5}+\frac{4}{2\times 1.714448-5}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Add 3.428896 and 5 to get 8.428896.

$$\frac{3}{8.428896}+\frac{4}{2\times 1.714448-5}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Expand \frac{3}{8.428896} by multiplying both numerator and the denominator by 1000000.

$$\frac{3000000}{8428896}+\frac{4}{2\times 1.714448-5}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Reduce the fraction \frac{3000000}{8428896} to lowest terms by extracting and canceling out 96.

$$\frac{31250}{87801}+\frac{4}{2\times 1.714448-5}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Multiply 2 and 1.714448 to get 3.428896.

$$\frac{31250}{87801}+\frac{4}{3.428896-5}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Subtract 5 from 3.428896 to get -1.571104.

$$\frac{31250}{87801}+\frac{4}{-1.571104}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Expand \frac{4}{-1.571104} by multiplying both numerator and the denominator by 1000000.

$$\frac{31250}{87801}+\frac{4000000}{-1571104}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Reduce the fraction \frac{4000000}{-1571104} to lowest terms by extracting and canceling out 32.

$$\frac{31250}{87801}-\frac{125000}{49097}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Least common multiple of 87801 and 49097 is 4310765697. Convert \frac{31250}{87801} and \frac{125000}{49097} to fractions with denominator 4310765697.

$$\frac{1534281250}{4310765697}-\frac{10975125000}{4310765697}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Since \frac{1534281250}{4310765697} and \frac{10975125000}{4310765697} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1534281250-10975125000}{4310765697}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Subtract 10975125000 from 1534281250 to get -9440843750.

$$-\frac{9440843750}{4310765697}=\frac{14\times 1.71448+3}{4\times 1.714448^{2}-25}$$

Multiply 14 and 1.71448 to get 24.00272.

$$-\frac{9440843750}{4310765697}=\frac{24.00272+3}{4\times 1.714448^{2}-25}$$

Add 24.00272 and 3 to get 27.00272.

$$-\frac{9440843750}{4310765697}=\frac{27.00272}{4\times 1.714448^{2}-25}$$

Calculate 1.714448 to the power of 2 and get 2.939331944704.

$$-\frac{9440843750}{4310765697}=\frac{27.00272}{4\times 2.939331944704-25}$$

Multiply 4 and 2.939331944704 to get 11.757327778816.

$$-\frac{9440843750}{4310765697}=\frac{27.00272}{11.757327778816-25}$$

Subtract 25 from 11.757327778816 to get -13.242672221184.

$$-\frac{9440843750}{4310765697}=\frac{27.00272}{-13.242672221184}$$

Expand \frac{27.00272}{-13.242672221184} by multiplying both numerator and the denominator by 1000000000000.

$$-\frac{9440843750}{4310765697}=\frac{27002720000000}{-13242672221184}$$

Reduce the fraction \frac{27002720000000}{-13242672221184} to lowest terms by extracting and canceling out 1024.

$$-\frac{9440843750}{4310765697}=-\frac{26369843750}{12932297091}$$

Least common multiple of 4310765697 and 12932297091 is 12932297091. Convert -\frac{9440843750}{4310765697} and -\frac{26369843750}{12932297091} to fractions with denominator 12932297091.

$$-\frac{28322531250}{12932297091}=-\frac{26369843750}{12932297091}$$

Compare -\frac{28322531250}{12932297091} and -\frac{26369843750}{12932297091}.

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