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Simplifying 4x2 + 32x + -36 + x + 9 = 0 Reorder the terms: -36 + 9 + 32x + x + 4x2 = 0 Combine like terms: -36 + 9 = -27 -27 + 32x + x + 4x2 = 0 Combine like terms: 32x + x = 33x -27 + 33x + 4x2 = 0 Solving -27 + 33x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(3 + -4x) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-9, 0.75}
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