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Simplifying
(2x + 7)(2x + -7) = 0
Reorder the terms:
(7 + 2x)(2x + -7) = 0
Reorder the terms:
(7 + 2x)(-7 + 2x) = 0
Multiply (7 + 2x) * (-7 + 2x)
(7(-7 + 2x) + 2x * (-7 + 2x)) = 0
((-7 * 7 + 2x * 7) + 2x * (-7 + 2x)) = 0
((-49 + 14x) + 2x * (-7 + 2x)) = 0
(-49 + 14x + (-7 * 2x + 2x * 2x)) = 0
(-49 + 14x + (-14x + 4x2)) = 0
Combine like terms: 14x + -14x = 0
(-49 + 0 + 4x2) = 0
(-49 + 4x2) = 0
Solving
-49 + 4x2 = 0
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 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 4x2 = 0 + 49
4x2 = 0 + 49
Combine like terms: 0 + 49 = 49
4x2 = 49
Divide each side by '4'.
x2 = 12.25
Simplifying
x2 = 12.25
Take the square root of each side:
x = {-3.5, 3.5}
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