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Simplifying 9x(x + 4) + -8(x + 4) = 0 Reorder the terms: 9x(4 + x) + -8(x + 4) = 0 (4 * 9x + x * 9x) + -8(x + 4) = 0 (36x + 9x2) + -8(x + 4) = 0 Reorder the terms: 36x + 9x2 + -8(4 + x) = 0 36x + 9x2 + (4 * -8 + x * -8) = 0 36x + 9x2 + (-32 + -8x) = 0 Reorder the terms: -32 + 36x + -8x + 9x2 = 0 Combine like terms: 36x + -8x = 28x -32 + 28x + 9x2 = 0 Solving -32 + 28x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(8 + -9x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889Solution
x = {-4, 0.8888888889}
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