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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 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 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 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 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 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {14, 14}
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