144*x^2=x^2+100

Solution for 144*x^2=x^2+100 equation:

Simplifying
144x2 = x2 + 100

Reorder the terms:
144x2 = 100 + x2

Solving
144x2 = 100 + x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
144x2 + -1x2 = 100 + x2 + -1x2

Combine like terms: 144x2 + -1x2 = 143x2
143x2 = 100 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
143x2 = 100 + 0
143x2 = 100

Divide each side by '143'.
x2 = 0.6993006993

Simplifying
x2 = 0.6993006993

Take the square root of each side:
x = {-0.83624201, 0.83624201}