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Simplifying (4x + 9)(4x + -4) = 0 Reorder the terms: (9 + 4x)(4x + -4) = 0 Reorder the terms: (9 + 4x)(-4 + 4x) = 0 Multiply (9 + 4x) * (-4 + 4x) (9(-4 + 4x) + 4x * (-4 + 4x)) = 0 ((-4 * 9 + 4x * 9) + 4x * (-4 + 4x)) = 0 ((-36 + 36x) + 4x * (-4 + 4x)) = 0 (-36 + 36x + (-4 * 4x + 4x * 4x)) = 0 (-36 + 36x + (-16x + 16x2)) = 0 Combine like terms: 36x + -16x = 20x (-36 + 20x + 16x2) = 0 Solving -36 + 20x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + 5x + 4x2) = 0 Factor a trinomial. 4((-9 + -4x)(1 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25Subproblem 2
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 = 1Solution
x = {-2.25, 1}
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