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Simplifying (2x + 4)(x + -1) = 9x Reorder the terms: (4 + 2x)(x + -1) = 9x Reorder the terms: (4 + 2x)(-1 + x) = 9x Multiply (4 + 2x) * (-1 + x) (4(-1 + x) + 2x * (-1 + x)) = 9x ((-1 * 4 + x * 4) + 2x * (-1 + x)) = 9x ((-4 + 4x) + 2x * (-1 + x)) = 9x (-4 + 4x + (-1 * 2x + x * 2x)) = 9x (-4 + 4x + (-2x + 2x2)) = 9x Combine like terms: 4x + -2x = 2x (-4 + 2x + 2x2) = 9x Solving -4 + 2x + 2x2 = 9x Solving for variable 'x'. Reorder the terms: -4 + 2x + -9x + 2x2 = 9x + -9x Combine like terms: 2x + -9x = -7x -4 + -7x + 2x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -7x + 2x2 = 0 Factor a trinomial. (-1 + -2x)(4 + -1x) = 0Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
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 = 4Solution
x = {-0.5, 4}
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