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Simplifying (x + 14)(x + 14) = 0 Reorder the terms: (14 + x)(x + 14) = 0 Reorder the terms: (14 + x)(14 + x) = 0 Multiply (14 + x) * (14 + x) (14(14 + x) + x(14 + x)) = 0 ((14 * 14 + x * 14) + x(14 + x)) = 0 ((196 + 14x) + x(14 + x)) = 0 (196 + 14x + (14 * x + x * x)) = 0 (196 + 14x + (14x + x2)) = 0 Combine like terms: 14x + 14x = 28x (196 + 28x + x2) = 0 Solving 196 + 28x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (14 + x)(14 + x) = 0Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {-14, -14}
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