x^2+144=40x^2

Solution for x^2+144=40x^2 equation:

Simplifying
x2 + 144 = 40x2

Reorder the terms:
144 + x2 = 40x2

Solving
144 + x2 = 40x2

Solving for variable 'x'.

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

Add '-40x2' to each side of the equation.
144 + x2 + -40x2 = 40x2 + -40x2

Combine like terms: x2 + -40x2 = -39x2
144 + -39x2 = 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
144 + -39x2 = 0

Add '-144' to each side of the equation.
144 + -144 + -39x2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -39x2 = 0 + -144
-39x2 = 0 + -144

Combine like terms: 0 + -144 = -144
-39x2 = -144

Divide each side by '-39'.
x2 = 3.692307692

Simplifying
x2 = 3.692307692

Take the square root of each side:
x = {-1.921537846, 1.921537846}