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Simplifying
4x2 + 13 = 117
Reorder the terms:
13 + 4x2 = 117
Solving
13 + 4x2 = 117
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + 4x2 = 117 + -13
Combine like terms: 13 + -13 = 0
0 + 4x2 = 117 + -13
4x2 = 117 + -13
Combine like terms: 117 + -13 = 104
4x2 = 104
Divide each side by '4'.
x2 = 26
Simplifying
x2 = 26
Take the square root of each side:
x = {-5.099019514, 5.099019514}
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