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Simplifying (x + -3)(x + -7) = -4 Reorder the terms: (-3 + x)(x + -7) = -4 Reorder the terms: (-3 + x)(-7 + x) = -4 Multiply (-3 + x) * (-7 + x) (-3(-7 + x) + x(-7 + x)) = -4 ((-7 * -3 + x * -3) + x(-7 + x)) = -4 ((21 + -3x) + x(-7 + x)) = -4 (21 + -3x + (-7 * x + x * x)) = -4 (21 + -3x + (-7x + x2)) = -4 Combine like terms: -3x + -7x = -10x (21 + -10x + x2) = -4 Solving 21 + -10x + x2 = -4 Solving for variable 'x'. Reorder the terms: 21 + 4 + -10x + x2 = -4 + 4 Combine like terms: 21 + 4 = 25 25 + -10x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 25 + -10x + x2 = 0 Factor a trinomial. (5 + -1x)(5 + -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 '(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 = 5Solution
x = {5, 5}
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