Solve 0=2/2H125+10(125H-9375+260416)

$$0 = \frac { 2 } { 2 } H 125 + 10 ( 125 H - 9375 + 260416 )$$

Solve for H

$$H=-\frac{H_{125}}{1250}-\frac{251041}{125}$$

Steps for Solving Linear Equation

Divide 2 by 2 to get 1.

$$0=1H_{125}+10\left(125H-9375+260416\right)$$

Add -9375 and 260416 to get 251041.

$$0=1H_{125}+10\left(125H+251041\right)$$

Use the distributive property to multiply 10 by 125H+251041.

$$0=1H_{125}+1250H+2510410$$

Swap sides so that all variable terms are on the left hand side.

$$1H_{125}+1250H+2510410=0$$

Subtract 1H_{125} from both sides. Anything subtracted from zero gives its negation.

$$1250H+2510410=-H_{125}$$

Subtract 2510410 from both sides.

$$1250H=-H_{125}-2510410$$

Divide both sides by 1250.

$$\frac{1250H}{1250}=\frac{-H_{125}-2510410}{1250}$$

Dividing by 1250 undoes the multiplication by 1250.

$$H=\frac{-H_{125}-2510410}{1250}$$

Divide -H_{125}-2510410 by 1250.

$$H=-\frac{H_{125}}{1250}-\frac{251041}{125}$$

Solve for H_125

$$H_{125}=-1250H-2510410$$

Solution Steps

Divide 2 by 2 to get 1.

$$0=1H_{125}+10\left(125H-9375+260416\right)$$

Add -9375 and 260416 to get 251041.

$$0=1H_{125}+10\left(125H+251041\right)$$

Use the distributive property to multiply 10 by 125H+251041.

$$0=1H_{125}+1250H+2510410$$

Swap sides so that all variable terms are on the left hand side.

$$1H_{125}+1250H+2510410=0$$

Subtract 1250H from both sides. Anything subtracted from zero gives its negation.

$$1H_{125}+2510410=-1250H$$

Subtract 2510410 from both sides.

$$1H_{125}=-1250H-2510410$$

Reorder the terms.

$$H_{125}=-1250H-2510410$$