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Simplifying (9x + -5)(8x + 7) = 0 Reorder the terms: (-5 + 9x)(8x + 7) = 0 Reorder the terms: (-5 + 9x)(7 + 8x) = 0 Multiply (-5 + 9x) * (7 + 8x) (-5(7 + 8x) + 9x * (7 + 8x)) = 0 ((7 * -5 + 8x * -5) + 9x * (7 + 8x)) = 0 ((-35 + -40x) + 9x * (7 + 8x)) = 0 (-35 + -40x + (7 * 9x + 8x * 9x)) = 0 (-35 + -40x + (63x + 72x2)) = 0 Combine like terms: -40x + 63x = 23x (-35 + 23x + 72x2) = 0 Solving -35 + 23x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -8x)(5 + -9x) = 0Subproblem 1
Set the factor '(-7 + -8x)' equal to zero and attempt to solve: Simplifying -7 + -8x = 0 Solving -7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875Subproblem 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 = {-0.875, 0.5555555556}
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