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Simplifying (-1x + -3)(x + 4) = 0 Reorder the terms: (-3 + -1x)(x + 4) = 0 Reorder the terms: (-3 + -1x)(4 + x) = 0 Multiply (-3 + -1x) * (4 + x) (-3(4 + x) + -1x * (4 + x)) = 0 ((4 * -3 + x * -3) + -1x * (4 + x)) = 0 ((-12 + -3x) + -1x * (4 + x)) = 0 (-12 + -3x + (4 * -1x + x * -1x)) = 0 (-12 + -3x + (-4x + -1x2)) = 0 Combine like terms: -3x + -4x = -7x (-12 + -7x + -1x2) = 0 Solving -12 + -7x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(12 + 7x + x2) = 0 Factor a trinomial. -1((4 + x)(3 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-4, -3}
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