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Simplifying 13x2 + -3x2 = 20x + 13x Combine like terms: 13x2 + -3x2 = 10x2 10x2 = 20x + 13x Combine like terms: 20x + 13x = 33x 10x2 = 33x Solving 10x2 = 33x Solving for variable 'x'. Reorder the terms: -33x + 10x2 = 33x + -33x Combine like terms: 33x + -33x = 0 -33x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-33 + 10x) = 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 '(-33 + 10x)' equal to zero and attempt to solve: Simplifying -33 + 10x = 0 Solving -33 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 10x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = 0 + 33 10x = 0 + 33 Combine like terms: 0 + 33 = 33 10x = 33 Divide each side by '10'. x = 3.3 Simplifying x = 3.3Solution
x = {0, 3.3}
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