x^2+x^2+9=4x^2-9

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Solution for x^2+x^2+9=4x^2-9 equation: 


Simplifying
x2 + x2 + 9 = 4x2 + -9

Reorder the terms:
9 + x2 + x2 = 4x2 + -9

Combine like terms: x2 + x2 = 2x2
9 + 2x2 = 4x2 + -9

Reorder the terms:
9 + 2x2 = -9 + 4x2

Solving
9 + 2x2 = -9 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
9 + 2x2 + -4x2 = -9 + 4x2 + -4x2

Combine like terms: 2x2 + -4x2 = -2x2
9 + -2x2 = -9 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
9 + -2x2 = -9 + 0
9 + -2x2 = -9

Add '-9' to each side of the equation.
9 + -9 + -2x2 = -9 + -9

Combine like terms: 9 + -9 = 0
0 + -2x2 = -9 + -9
-2x2 = -9 + -9

Combine like terms: -9 + -9 = -18
-2x2 = -18

Divide each side by '-2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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