Solve (h-176*2)*981=1/2*(1314)^2

$$( h - 176 \times 2 ) \cdot 981 = \frac { 1 } { 2 } \cdot ( 1314 ) ^ { 2 }$$

Solve for h

$$h = \frac{134290}{109} = 1232\frac{2}{109} \approx 1232.018348624$$

Steps for Solving Linear Equation

Multiply 176 and 2 to get 352.

$$\left(h-352\right)\times 981=\frac{1}{2}\times 1314^{2}$$

Use the distributive property to multiply h-352 by 981.

$$981h-345312=\frac{1}{2}\times 1314^{2}$$

Calculate 1314 to the power of 2 and get 1726596.

$$981h-345312=\frac{1}{2}\times 1726596$$

Multiply \frac{1}{2} and 1726596 to get \frac{1726596}{2}.

$$981h-345312=\frac{1726596}{2}$$

Divide 1726596 by 2 to get 863298.

$$981h-345312=863298$$

Add 345312 to both sides.

$$981h=863298+345312$$

Add 863298 and 345312 to get 1208610.

$$981h=1208610$$

Divide both sides by 981.

$$h=\frac{1208610}{981}$$

Reduce the fraction \frac{1208610}{981} to lowest terms by extracting and canceling out 9.

$$h=\frac{134290}{109}$$