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Simplifying (4 + -2x)(9x + 4) = 0 Reorder the terms: (4 + -2x)(4 + 9x) = 0 Multiply (4 + -2x) * (4 + 9x) (4(4 + 9x) + -2x * (4 + 9x)) = 0 ((4 * 4 + 9x * 4) + -2x * (4 + 9x)) = 0 ((16 + 36x) + -2x * (4 + 9x)) = 0 (16 + 36x + (4 * -2x + 9x * -2x)) = 0 (16 + 36x + (-8x + -18x2)) = 0 Combine like terms: 36x + -8x = 28x (16 + 28x + -18x2) = 0 Solving 16 + 28x + -18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 14x + -9x2) = 0 Factor a trinomial. 2((2 + -1x)(4 + 9x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(4 + 9x)' equal to zero and attempt to solve: Simplifying 4 + 9x = 0 Solving 4 + 9x = 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 + 9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 0 + -4 9x = 0 + -4 Combine like terms: 0 + -4 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444Solution
x = {2, -0.4444444444}
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