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Simplifying
9x2 + 35 = 3x2 + 131
Reorder the terms:
35 + 9x2 = 3x2 + 131
Reorder the terms:
35 + 9x2 = 131 + 3x2
Solving
35 + 9x2 = 131 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
35 + 9x2 + -3x2 = 131 + 3x2 + -3x2
Combine like terms: 9x2 + -3x2 = 6x2
35 + 6x2 = 131 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
35 + 6x2 = 131 + 0
35 + 6x2 = 131
Add '-35' to each side of the equation.
35 + -35 + 6x2 = 131 + -35
Combine like terms: 35 + -35 = 0
0 + 6x2 = 131 + -35
6x2 = 131 + -35
Combine like terms: 131 + -35 = 96
6x2 = 96
Divide each side by '6'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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