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Simplifying -1(x + 6)(x + 4) = 0 Reorder the terms: -1(6 + x)(x + 4) = 0 Reorder the terms: -1(6 + x)(4 + x) = 0 Multiply (6 + x) * (4 + x) -1(6(4 + x) + x(4 + x)) = 0 -1((4 * 6 + x * 6) + x(4 + x)) = 0 -1((24 + 6x) + x(4 + x)) = 0 -1(24 + 6x + (4 * x + x * x)) = 0 -1(24 + 6x + (4x + x2)) = 0 Combine like terms: 6x + 4x = 10x -1(24 + 10x + x2) = 0 (24 * -1 + 10x * -1 + x2 * -1) = 0 (-24 + -10x + -1x2) = 0 Solving -24 + -10x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(24 + 10x + x2) = 0 Factor a trinomial. -1((6 + x)(4 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
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 = -4Solution
x = {-6, -4}
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