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Simplifying 5x(2x + -7) + -3x(3x + -5) = 0 Reorder the terms: 5x(-7 + 2x) + -3x(3x + -5) = 0 (-7 * 5x + 2x * 5x) + -3x(3x + -5) = 0 (-35x + 10x2) + -3x(3x + -5) = 0 Reorder the terms: -35x + 10x2 + -3x(-5 + 3x) = 0 -35x + 10x2 + (-5 * -3x + 3x * -3x) = 0 -35x + 10x2 + (15x + -9x2) = 0 Reorder the terms: -35x + 15x + 10x2 + -9x2 = 0 Combine like terms: -35x + 15x = -20x -20x + 10x2 + -9x2 = 0 Combine like terms: 10x2 + -9x2 = 1x2 -20x + 1x2 = 0 Solving -20x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-20 + 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Solution
x = {0, 20}
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