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Simplifying (x + -5)(x + -5) + -49 = 0 Reorder the terms: (-5 + x)(x + -5) + -49 = 0 Reorder the terms: (-5 + x)(-5 + x) + -49 = 0 Multiply (-5 + x) * (-5 + x) (-5(-5 + x) + x(-5 + x)) + -49 = 0 ((-5 * -5 + x * -5) + x(-5 + x)) + -49 = 0 ((25 + -5x) + x(-5 + x)) + -49 = 0 (25 + -5x + (-5 * x + x * x)) + -49 = 0 (25 + -5x + (-5x + x2)) + -49 = 0 Combine like terms: -5x + -5x = -10x (25 + -10x + x2) + -49 = 0 Reorder the terms: 25 + -49 + -10x + x2 = 0 Combine like terms: 25 + -49 = -24 -24 + -10x + x2 = 0 Solving -24 + -10x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-2, 12}
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