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Simplifying (4x + -6)(9x + 5) = 0 Reorder the terms: (-6 + 4x)(9x + 5) = 0 Reorder the terms: (-6 + 4x)(5 + 9x) = 0 Multiply (-6 + 4x) * (5 + 9x) (-6(5 + 9x) + 4x * (5 + 9x)) = 0 ((5 * -6 + 9x * -6) + 4x * (5 + 9x)) = 0 ((-30 + -54x) + 4x * (5 + 9x)) = 0 (-30 + -54x + (5 * 4x + 9x * 4x)) = 0 (-30 + -54x + (20x + 36x2)) = 0 Combine like terms: -54x + 20x = -34x (-30 + -34x + 36x2) = 0 Solving -30 + -34x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + -17x + 18x2) = 0 Factor a trinomial. 2((-5 + -9x)(3 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -9x)' equal to zero and attempt to solve: Simplifying -5 + -9x = 0 Solving -5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 0 + 5 -9x = 0 + 5 Combine like terms: 0 + 5 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-0.5555555556, 1.5}
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