Solve -51/2(7)-5^2+4(7)(2)/2(7)

$$- 5 \frac { 1 } { 2 ( 7 ) } \frac { - 5 ^ { 2 } + 4 ( 7 ) ( 2 ) } { 2 ( 7 ) }$$

Evaluate

$$-\frac{155}{196}\approx -0.790816327$$

Solution Steps

Multiply 2 and 7 to get 14.

$$-5\times \frac{1}{14}\times \frac{-5^{2}+4\times 7\times 2}{2\times 7}$$

Multiply -5 and \frac{1}{14} to get \frac{-5}{14}.

$$\frac{-5}{14}\times \frac{-5^{2}+4\times 7\times 2}{2\times 7}$$

Fraction \frac{-5}{14} can be rewritten as -\frac{5}{14} by extracting the negative sign.

$$-\frac{5}{14}\times \frac{-5^{2}+4\times 7\times 2}{2\times 7}$$

Calculate 5 to the power of 2 and get 25.

$$-\frac{5}{14}\times \frac{-25+4\times 7\times 2}{2\times 7}$$

Multiply 4 and 7 to get 28.

$$-\frac{5}{14}\times \frac{-25+28\times 2}{2\times 7}$$

Multiply 28 and 2 to get 56.

$$-\frac{5}{14}\times \frac{-25+56}{2\times 7}$$

Add -25 and 56 to get 31.

$$-\frac{5}{14}\times \frac{31}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$-\frac{5}{14}\times \frac{31}{14}$$

Multiply -\frac{5}{14} times \frac{31}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 31}{14\times 14}$$

Do the multiplications in the fraction \frac{-5\times 31}{14\times 14}.

$$\frac{-155}{196}$$

Fraction \frac{-155}{196} can be rewritten as -\frac{155}{196} by extracting the negative sign.

$$-\frac{155}{196}$$

Factor

$$-\frac{155}{196} = -0.7908163265306123$$