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Simplifying (x + -7)(x + -7) = 4 Reorder the terms: (-7 + x)(x + -7) = 4 Reorder the terms: (-7 + x)(-7 + x) = 4 Multiply (-7 + x) * (-7 + x) (-7(-7 + x) + x(-7 + x)) = 4 ((-7 * -7 + x * -7) + x(-7 + x)) = 4 ((49 + -7x) + x(-7 + x)) = 4 (49 + -7x + (-7 * x + x * x)) = 4 (49 + -7x + (-7x + x2)) = 4 Combine like terms: -7x + -7x = -14x (49 + -14x + x2) = 4 Solving 49 + -14x + x2 = 4 Solving for variable 'x'. Reorder the terms: 49 + -4 + -14x + x2 = 4 + -4 Combine like terms: 49 + -4 = 45 45 + -14x + x2 = 4 + -4 Combine like terms: 4 + -4 = 0 45 + -14x + x2 = 0 Factor a trinomial. (5 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {5, 9}
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