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Simplifying (9x + -5)(8x + 4) = 0 Reorder the terms: (-5 + 9x)(8x + 4) = 0 Reorder the terms: (-5 + 9x)(4 + 8x) = 0 Multiply (-5 + 9x) * (4 + 8x) (-5(4 + 8x) + 9x * (4 + 8x)) = 0 ((4 * -5 + 8x * -5) + 9x * (4 + 8x)) = 0 ((-20 + -40x) + 9x * (4 + 8x)) = 0 (-20 + -40x + (4 * 9x + 8x * 9x)) = 0 (-20 + -40x + (36x + 72x2)) = 0 Combine like terms: -40x + 36x = -4x (-20 + -4x + 72x2) = 0 Solving -20 + -4x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + -1x + 18x2) = 0 Factor a trinomial. 4((-1 + -2x)(5 + -9x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
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 = 0.5555555556Solution
x = {-0.5, 0.5555555556}
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