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Simplifying (x + 4)(x + -4) + -1(x + -3) = -1 Reorder the terms: (4 + x)(x + -4) + -1(x + -3) = -1 Reorder the terms: (4 + x)(-4 + x) + -1(x + -3) = -1 Multiply (4 + x) * (-4 + x) (4(-4 + x) + x(-4 + x)) + -1(x + -3) = -1 ((-4 * 4 + x * 4) + x(-4 + x)) + -1(x + -3) = -1 ((-16 + 4x) + x(-4 + x)) + -1(x + -3) = -1 (-16 + 4x + (-4 * x + x * x)) + -1(x + -3) = -1 (-16 + 4x + (-4x + x2)) + -1(x + -3) = -1 Combine like terms: 4x + -4x = 0 (-16 + 0 + x2) + -1(x + -3) = -1 (-16 + x2) + -1(x + -3) = -1 Reorder the terms: -16 + x2 + -1(-3 + x) = -1 -16 + x2 + (-3 * -1 + x * -1) = -1 -16 + x2 + (3 + -1x) = -1 Reorder the terms: -16 + 3 + -1x + x2 = -1 Combine like terms: -16 + 3 = -13 -13 + -1x + x2 = -1 Solving -13 + -1x + x2 = -1 Solving for variable 'x'. Reorder the terms: -13 + 1 + -1x + x2 = -1 + 1 Combine like terms: -13 + 1 = -12 -12 + -1x + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 -12 + -1x + x2 = 0 Factor a trinomial. (-3 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-3, 4}
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