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Simplifying
(14 + 2x)(14 + -2x) = 0
Multiply (14 + 2x) * (14 + -2x)
(14(14 + -2x) + 2x * (14 + -2x)) = 0
((14 * 14 + -2x * 14) + 2x * (14 + -2x)) = 0
((196 + -28x) + 2x * (14 + -2x)) = 0
(196 + -28x + (14 * 2x + -2x * 2x)) = 0
(196 + -28x + (28x + -4x2)) = 0
Combine like terms: -28x + 28x = 0
(196 + 0 + -4x2) = 0
(196 + -4x2) = 0
Solving
196 + -4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-196' to each side of the equation.
196 + -196 + -4x2 = 0 + -196
Combine like terms: 196 + -196 = 0
0 + -4x2 = 0 + -196
-4x2 = 0 + -196
Combine like terms: 0 + -196 = -196
-4x2 = -196
Divide each side by '-4'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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