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Simplifying
3x2 + -44 = x2 + 84
Reorder the terms:
-44 + 3x2 = x2 + 84
Reorder the terms:
-44 + 3x2 = 84 + x2
Solving
-44 + 3x2 = 84 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
-44 + 3x2 + -1x2 = 84 + x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
-44 + 2x2 = 84 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-44 + 2x2 = 84 + 0
-44 + 2x2 = 84
Add '44' to each side of the equation.
-44 + 44 + 2x2 = 84 + 44
Combine like terms: -44 + 44 = 0
0 + 2x2 = 84 + 44
2x2 = 84 + 44
Combine like terms: 84 + 44 = 128
2x2 = 128
Divide each side by '2'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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