Solve -5/3x(1/2)^2+(-5/6)

$$- \frac { 5 } { 3 } x ( \frac { 1 } { 2 } ) ^ { 2 } + ( - \frac { 5 } { 6 } )$$

Evaluate

$$-\frac{5x}{12}-\frac{5}{6}$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$-\frac{5}{3}x\times \frac{1}{4}-\frac{5}{6}$$

Multiply -\frac{5}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5}{3\times 4}x-\frac{5}{6}$$

Do the multiplications in the fraction \frac{-5}{3\times 4}.

$$\frac{-5}{12}x-\frac{5}{6}$$

Fraction \frac{-5}{12} can be rewritten as -\frac{5}{12} by extracting the negative sign.

$$-\frac{5}{12}x-\frac{5}{6}$$

Factor

$$\frac{5\left(-x-2\right)}{12}$$

Solution Steps

Factor out \frac{5}{12}.

$$\frac{5\left(-x-2\right)}{12}$$