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Simplifying
(2x + -7)(2x + 7) = 9
Reorder the terms:
(-7 + 2x)(2x + 7) = 9
Reorder the terms:
(-7 + 2x)(7 + 2x) = 9
Multiply (-7 + 2x) * (7 + 2x)
(-7(7 + 2x) + 2x * (7 + 2x)) = 9
((7 * -7 + 2x * -7) + 2x * (7 + 2x)) = 9
((-49 + -14x) + 2x * (7 + 2x)) = 9
(-49 + -14x + (7 * 2x + 2x * 2x)) = 9
(-49 + -14x + (14x + 4x2)) = 9
Combine like terms: -14x + 14x = 0
(-49 + 0 + 4x2) = 9
(-49 + 4x2) = 9
Solving
-49 + 4x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 4x2 = 9 + 49
Combine like terms: -49 + 49 = 0
0 + 4x2 = 9 + 49
4x2 = 9 + 49
Combine like terms: 9 + 49 = 58
4x2 = 58
Divide each side by '4'.
x2 = 14.5
Simplifying
x2 = 14.5
Take the square root of each side:
x = {-3.807886553, 3.807886553}
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