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Simplifying
4x2 + 11 = 40
Reorder the terms:
11 + 4x2 = 40
Solving
11 + 4x2 = 40
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 = 40 + -11
Combine like terms: 11 + -11 = 0
0 + 4x2 = 40 + -11
4x2 = 40 + -11
Combine like terms: 40 + -11 = 29
4x2 = 29
Divide each side by '4'.
x2 = 7.25
Simplifying
x2 = 7.25
Take the square root of each side:
x = {-2.692582404, 2.692582404}
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