Solve 50^2=100^2+2*a*0.15

$$50 ^ { 2 } = 100 ^ { 2 } + 2 \times a \times 0.15$$

Solve for a

$$a=-25000$$

Steps for Solving Linear Equation

Calculate 50 to the power of 2 and get 2500.

$$2500=100^{2}+2a\times 0.15$$

Calculate 100 to the power of 2 and get 10000.

$$2500=10000+2a\times 0.15$$

Multiply 2 and 0.15 to get 0.3.

$$2500=10000+0.3a$$

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

$$10000+0.3a=2500$$

Subtract 10000 from both sides.

$$0.3a=2500-10000$$

Subtract 10000 from 2500 to get -7500.

$$0.3a=-7500$$

Divide both sides by 0.3.

$$a=\frac{-7500}{0.3}$$

Expand \frac{-7500}{0.3} by multiplying both numerator and the denominator by 10.

$$a=\frac{-75000}{3}$$

Divide -75000 by 3 to get -25000.

$$a=-25000$$