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Simplifying
2x2 + 36 + 2x2 + 36 = 6x2
Reorder the terms:
36 + 36 + 2x2 + 2x2 = 6x2
Combine like terms: 36 + 36 = 72
72 + 2x2 + 2x2 = 6x2
Combine like terms: 2x2 + 2x2 = 4x2
72 + 4x2 = 6x2
Solving
72 + 4x2 = 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
72 + 4x2 + -6x2 = 6x2 + -6x2
Combine like terms: 4x2 + -6x2 = -2x2
72 + -2x2 = 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
72 + -2x2 = 0
Add '-72' to each side of the equation.
72 + -72 + -2x2 = 0 + -72
Combine like terms: 72 + -72 = 0
0 + -2x2 = 0 + -72
-2x2 = 0 + -72
Combine like terms: 0 + -72 = -72
-2x2 = -72
Divide each side by '-2'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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