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Simplifying x(2x + -5) + -1x(6x + 3) = 0 Reorder the terms: x(-5 + 2x) + -1x(6x + 3) = 0 (-5 * x + 2x * x) + -1x(6x + 3) = 0 (-5x + 2x2) + -1x(6x + 3) = 0 Reorder the terms: -5x + 2x2 + -1x(3 + 6x) = 0 -5x + 2x2 + (3 * -1x + 6x * -1x) = 0 -5x + 2x2 + (-3x + -6x2) = 0 Reorder the terms: -5x + -3x + 2x2 + -6x2 = 0 Combine like terms: -5x + -3x = -8x -8x + 2x2 + -6x2 = 0 Combine like terms: 2x2 + -6x2 = -4x2 -8x + -4x2 = 0 Solving -8x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4x'. -4x(2 + x) = 0 Ignore the factor -4.Subproblem 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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