Solve c(-10)(-10+50)=5(-10)+500

$$c ( - 10 ) ( - 10 + 50 ) = 5 ( - 10 ) + 500$$

Solve for c

$$c = -\frac{9}{8} = -1\frac{1}{8} = -1.125$$

Steps for Solving Linear Equation

Add -10 and 50 to get 40.

$$c\left(-10\right)\times 40=5\left(-10\right)+500$$

Multiply -10 and 40 to get -400.

$$c\left(-400\right)=5\left(-10\right)+500$$

Multiply 5 and -10 to get -50.

$$c\left(-400\right)=-50+500$$

Add -50 and 500 to get 450.

$$c\left(-400\right)=450$$

Divide both sides by -400.

$$c=\frac{450}{-400}$$

Reduce the fraction \frac{450}{-400} to lowest terms by extracting and canceling out 50.

$$c=-\frac{9}{8}$$