Solve 0=2/2H125+10(12.5H-93.75+26.0416)

$$0 = \frac { 2 } { 2 } H 125 + 10 ( 12.5 H - 93.75 + 26.0416 )$$

Solve for H

$$H=-\frac{H_{125}}{125}+5.416672$$

Steps for Solving Linear Equation

Divide 2 by 2 to get 1.

$$0=1H_{125}+10\left(12.5H-93.75+26.0416\right)$$

Add -93.75 and 26.0416 to get -67.7084.

$$0=1H_{125}+10\left(12.5H-67.7084\right)$$

Use the distributive property to multiply 10 by 12.5H-67.7084.

$$0=1H_{125}+125H-677.084$$

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

$$1H_{125}+125H-677.084=0$$

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

$$125H-677.084=-H_{125}$$

Add 677.084 to both sides.

$$125H=-H_{125}+677.084$$

The equation is in standard form.

$$125H=677.084-H_{125}$$

Divide both sides by 125.

$$\frac{125H}{125}=\frac{677.084-H_{125}}{125}$$

Dividing by 125 undoes the multiplication by 125.

$$H=\frac{677.084-H_{125}}{125}$$

Divide -H_{125}+677.084 by 125.

$$H=-\frac{H_{125}}{125}+\frac{169271}{31250}$$

Solve for H_125

$$H_{125}=677.084-125H$$

Solution Steps

Divide 2 by 2 to get 1.

$$0=1H_{125}+10\left(12.5H-93.75+26.0416\right)$$

Add -93.75 and 26.0416 to get -67.7084.

$$0=1H_{125}+10\left(12.5H-67.7084\right)$$

Use the distributive property to multiply 10 by 12.5H-67.7084.

$$0=1H_{125}+125H-677.084$$

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

$$1H_{125}+125H-677.084=0$$

Subtract 125H from both sides. Anything subtracted from zero gives its negation.

$$1H_{125}-677.084=-125H$$

Add 677.084 to both sides.

$$1H_{125}=-125H+677.084$$

Reorder the terms.

$$H_{125}=-125H+677.084$$