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Simplifying
3x2 + 108 = 4x2 + 12
Reorder the terms:
108 + 3x2 = 4x2 + 12
Reorder the terms:
108 + 3x2 = 12 + 4x2
Solving
108 + 3x2 = 12 + 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.
108 + 3x2 + -4x2 = 12 + 4x2 + -4x2
Combine like terms: 3x2 + -4x2 = -1x2
108 + -1x2 = 12 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
108 + -1x2 = 12 + 0
108 + -1x2 = 12
Add '-108' to each side of the equation.
108 + -108 + -1x2 = 12 + -108
Combine like terms: 108 + -108 = 0
0 + -1x2 = 12 + -108
-1x2 = 12 + -108
Combine like terms: 12 + -108 = -96
-1x2 = -96
Divide each side by '-1'.
x2 = 96
Simplifying
x2 = 96
Take the square root of each side:
x = {-9.797958971, 9.797958971}
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