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Simplifying 5x(x + -9) + -4(x + -9) = 0 Reorder the terms: 5x(-9 + x) + -4(x + -9) = 0 (-9 * 5x + x * 5x) + -4(x + -9) = 0 (-45x + 5x2) + -4(x + -9) = 0 Reorder the terms: -45x + 5x2 + -4(-9 + x) = 0 -45x + 5x2 + (-9 * -4 + x * -4) = 0 -45x + 5x2 + (36 + -4x) = 0 Reorder the terms: 36 + -45x + -4x + 5x2 = 0 Combine like terms: -45x + -4x = -49x 36 + -49x + 5x2 = 0 Solving 36 + -49x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0.8, 9}
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