x^2-40=-3x^2

Solution for x^2-40=-3x^2 equation:

Simplifying
x2 + -40 = -3x2

Reorder the terms:
-40 + x2 = -3x2

Solving
-40 + x2 = -3x2

Solving for variable 'x'.

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

Add '3x2' to each side of the equation.
-40 + x2 + 3x2 = -3x2 + 3x2

Combine like terms: x2 + 3x2 = 4x2
-40 + 4x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-40 + 4x2 = 0

Add '40' to each side of the equation.
-40 + 40 + 4x2 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 4x2 = 0 + 40
4x2 = 0 + 40

Combine like terms: 0 + 40 = 40
4x2 = 40

Divide each side by '4'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}