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Simplifying 4x + -1x(x + -4) = -9 Reorder the terms: 4x + -1x(-4 + x) = -9 4x + (-4 * -1x + x * -1x) = -9 4x + (4x + -1x2) = -9 Combine like terms: 4x + 4x = 8x 8x + -1x2 = -9 Solving 8x + -1x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + 8x + -1x2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 8x + -1x2 = 0 Factor a trinomial. (9 + -1x)(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {9, -1}
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