x^2+4x^2-25=2x^2

Solution for x^2+4x^2-25=2x^2 equation:

Simplifying
x2 + 4x2 + -25 = 2x2

Reorder the terms:
-25 + x2 + 4x2 = 2x2

Combine like terms: x2 + 4x2 = 5x2
-25 + 5x2 = 2x2

Solving
-25 + 5x2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-25 + 5x2 + -2x2 = 2x2 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-25 + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-25 + 3x2 = 0

Add '25' to each side of the equation.
-25 + 25 + 3x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 3x2 = 0 + 25
3x2 = 0 + 25

Combine like terms: 0 + 25 = 25
3x2 = 25

Divide each side by '3'.
x2 = 8.333333333

Simplifying
x2 = 8.333333333

Take the square root of each side:
x = {-2.886751346, 2.886751346}