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Simplifying 2x(x + -3) + x(5 + -1x) = 0 Reorder the terms: 2x(-3 + x) + x(5 + -1x) = 0 (-3 * 2x + x * 2x) + x(5 + -1x) = 0 (-6x + 2x2) + x(5 + -1x) = 0 -6x + 2x2 + (5 * x + -1x * x) = 0 -6x + 2x2 + (5x + -1x2) = 0 Reorder the terms: -6x + 5x + 2x2 + -1x2 = 0 Combine like terms: -6x + 5x = -1x -1x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 -1x + 1x2 = 0 Solving -1x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + x) = 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 '(-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 = {0, 1}
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