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Simplifying 5x(x + -1) + -6x = 11x Reorder the terms: 5x(-1 + x) + -6x = 11x (-1 * 5x + x * 5x) + -6x = 11x (-5x + 5x2) + -6x = 11x Reorder the terms: -5x + -6x + 5x2 = 11x Combine like terms: -5x + -6x = -11x -11x + 5x2 = 11x Solving -11x + 5x2 = 11x Solving for variable 'x'. Reorder the terms: -11x + -11x + 5x2 = 11x + -11x Combine like terms: -11x + -11x = -22x -22x + 5x2 = 11x + -11x Combine like terms: 11x + -11x = 0 -22x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-22 + 5x) = 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 '(-22 + 5x)' equal to zero and attempt to solve: Simplifying -22 + 5x = 0 Solving -22 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 5x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = 0 + 22 5x = 0 + 22 Combine like terms: 0 + 22 = 22 5x = 22 Divide each side by '5'. x = 4.4 Simplifying x = 4.4Solution
x = {0, 4.4}
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