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Simplifying 9(x + 1)(x + -4) = 0 Reorder the terms: 9(1 + x)(x + -4) = 0 Reorder the terms: 9(1 + x)(-4 + x) = 0 Multiply (1 + x) * (-4 + x) 9(1(-4 + x) + x(-4 + x)) = 0 9((-4 * 1 + x * 1) + x(-4 + x)) = 0 9((-4 + 1x) + x(-4 + x)) = 0 9(-4 + 1x + (-4 * x + x * x)) = 0 9(-4 + 1x + (-4x + x2)) = 0 Combine like terms: 1x + -4x = -3x 9(-4 + -3x + x2) = 0 (-4 * 9 + -3x * 9 + x2 * 9) = 0 (-36 + -27x + 9x2) = 0 Solving -36 + -27x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(-4 + -3x + x2) = 0 Factor a trinomial. 9((-1 + -1x)(4 + -1x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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 = {-1, 4}
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