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