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