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Simplifying (2x + -1)(4 + -1x) = -4 Reorder the terms: (-1 + 2x)(4 + -1x) = -4 Multiply (-1 + 2x) * (4 + -1x) (-1(4 + -1x) + 2x * (4 + -1x)) = -4 ((4 * -1 + -1x * -1) + 2x * (4 + -1x)) = -4 ((-4 + 1x) + 2x * (4 + -1x)) = -4 (-4 + 1x + (4 * 2x + -1x * 2x)) = -4 (-4 + 1x + (8x + -2x2)) = -4 Combine like terms: 1x + 8x = 9x (-4 + 9x + -2x2) = -4 Add '4' to each side of the equation. -4 + 9x + 4 + -2x2 = -4 + 4 Reorder the terms: -4 + 4 + 9x + -2x2 = -4 + 4 Combine like terms: -4 + 4 = 0 0 + 9x + -2x2 = -4 + 4 9x + -2x2 = -4 + 4 Combine like terms: -4 + 4 = 0 9x + -2x2 = 0 Solving 9x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + -2x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {0, 4.5}
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