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Simplifying 5x2 + -20x = 10x + -45 Reorder the terms: -20x + 5x2 = 10x + -45 Reorder the terms: -20x + 5x2 = -45 + 10x Solving -20x + 5x2 = -45 + 10x Solving for variable 'x'. Reorder the terms: 45 + -20x + -10x + 5x2 = -45 + 10x + 45 + -10x Combine like terms: -20x + -10x = -30x 45 + -30x + 5x2 = -45 + 10x + 45 + -10x Reorder the terms: 45 + -30x + 5x2 = -45 + 45 + 10x + -10x Combine like terms: -45 + 45 = 0 45 + -30x + 5x2 = 0 + 10x + -10x 45 + -30x + 5x2 = 10x + -10x Combine like terms: 10x + -10x = 0 45 + -30x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(9 + -6x + x2) = 0 Factor a trinomial. 5((3 + -1x)(3 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {3, 3}
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