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Simplifying (-9x + -4)(8x + -5) = 0 Reorder the terms: (-4 + -9x)(8x + -5) = 0 Reorder the terms: (-4 + -9x)(-5 + 8x) = 0 Multiply (-4 + -9x) * (-5 + 8x) (-4(-5 + 8x) + -9x * (-5 + 8x)) = 0 ((-5 * -4 + 8x * -4) + -9x * (-5 + 8x)) = 0 ((20 + -32x) + -9x * (-5 + 8x)) = 0 (20 + -32x + (-5 * -9x + 8x * -9x)) = 0 (20 + -32x + (45x + -72x2)) = 0 Combine like terms: -32x + 45x = 13x (20 + 13x + -72x2) = 0 Solving 20 + 13x + -72x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -8x)(4 + 9x) = 0Subproblem 1
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 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 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Subproblem 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 = {0.625, -0.4444444444}
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