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Simplifying
4x2 + 11 = 91
Reorder the terms:
11 + 4x2 = 91
Solving
11 + 4x2 = 91
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 4x2 = 91 + -11
Combine like terms: 11 + -11 = 0
0 + 4x2 = 91 + -11
4x2 = 91 + -11
Combine like terms: 91 + -11 = 80
4x2 = 80
Divide each side by '4'.
x2 = 20
Simplifying
x2 = 20
Take the square root of each side:
x = {-4.472135955, 4.472135955}
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