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Simplifying (-1x + -7)(4x + 8) = 0 Reorder the terms: (-7 + -1x)(4x + 8) = 0 Reorder the terms: (-7 + -1x)(8 + 4x) = 0 Multiply (-7 + -1x) * (8 + 4x) (-7(8 + 4x) + -1x * (8 + 4x)) = 0 ((8 * -7 + 4x * -7) + -1x * (8 + 4x)) = 0 ((-56 + -28x) + -1x * (8 + 4x)) = 0 (-56 + -28x + (8 * -1x + 4x * -1x)) = 0 (-56 + -28x + (-8x + -4x2)) = 0 Combine like terms: -28x + -8x = -36x (-56 + -36x + -4x2) = 0 Solving -56 + -36x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4'. -4(14 + 9x + x2) = 0 Factor a trinomial. -4((7 + x)(2 + x)) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-7, -2}
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