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Simplifying x(2x + -3) + x(5x + -11) = 0 Reorder the terms: x(-3 + 2x) + x(5x + -11) = 0 (-3 * x + 2x * x) + x(5x + -11) = 0 (-3x + 2x2) + x(5x + -11) = 0 Reorder the terms: -3x + 2x2 + x(-11 + 5x) = 0 -3x + 2x2 + (-11 * x + 5x * x) = 0 -3x + 2x2 + (-11x + 5x2) = 0 Reorder the terms: -3x + -11x + 2x2 + 5x2 = 0 Combine like terms: -3x + -11x = -14x -14x + 2x2 + 5x2 = 0 Combine like terms: 2x2 + 5x2 = 7x2 -14x + 7x2 = 0 Solving -14x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(-2 + x) = 0 Ignore the factor 7.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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