Solve (15-2x)(8/10-2x)=

$$( 15 - 2 x ) ( \frac { 8 } { 10 } - 2 x ) =$$

Evaluate

$$4x^{2}-\frac{158x}{5}+12$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\left(15-2x\right)\left(\frac{4}{5}-2x\right)$$

Apply the distributive property by multiplying each term of 15-2x by each term of \frac{4}{5}-2x.

$$15\times \frac{4}{5}-30x-2x\times \frac{4}{5}+4x^{2}$$

Express 15\times \frac{4}{5} as a single fraction.

$$\frac{15\times 4}{5}-30x-2x\times \frac{4}{5}+4x^{2}$$

Multiply 15 and 4 to get 60.

$$\frac{60}{5}-30x-2x\times \frac{4}{5}+4x^{2}$$

Divide 60 by 5 to get 12.

$$12-30x-2x\times \frac{4}{5}+4x^{2}$$

Express -2\times \frac{4}{5} as a single fraction.

$$12-30x+\frac{-2\times 4}{5}x+4x^{2}$$

Multiply -2 and 4 to get -8.

$$12-30x+\frac{-8}{5}x+4x^{2}$$

Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$12-30x-\frac{8}{5}x+4x^{2}$$

Combine -30x and -\frac{8}{5}x to get -\frac{158}{5}x.

$$12-\frac{158}{5}x+4x^{2}$$

Expand

$$4x^{2}-\frac{158x}{5}+12$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\left(15-2x\right)\left(\frac{4}{5}-2x\right)$$

Apply the distributive property by multiplying each term of 15-2x by each term of \frac{4}{5}-2x.

$$15\times \frac{4}{5}-30x-2x\times \frac{4}{5}+4x^{2}$$

Express 15\times \frac{4}{5} as a single fraction.

$$\frac{15\times 4}{5}-30x-2x\times \frac{4}{5}+4x^{2}$$

Multiply 15 and 4 to get 60.

$$\frac{60}{5}-30x-2x\times \frac{4}{5}+4x^{2}$$

Divide 60 by 5 to get 12.

$$12-30x-2x\times \frac{4}{5}+4x^{2}$$

Express -2\times \frac{4}{5} as a single fraction.

$$12-30x+\frac{-2\times 4}{5}x+4x^{2}$$

Multiply -2 and 4 to get -8.

$$12-30x+\frac{-8}{5}x+4x^{2}$$

Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$12-30x-\frac{8}{5}x+4x^{2}$$

Combine -30x and -\frac{8}{5}x to get -\frac{158}{5}x.

$$12-\frac{158}{5}x+4x^{2}$$