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Simplifying 57 + 14x2 + -12 + -13x + -8x2 = 5x + 45 Reorder the terms: 57 + -12 + -13x + 14x2 + -8x2 = 5x + 45 Combine like terms: 57 + -12 = 45 45 + -13x + 14x2 + -8x2 = 5x + 45 Combine like terms: 14x2 + -8x2 = 6x2 45 + -13x + 6x2 = 5x + 45 Reorder the terms: 45 + -13x + 6x2 = 45 + 5x Add '-45' to each side of the equation. 45 + -13x + -45 + 6x2 = 45 + -45 + 5x Reorder the terms: 45 + -45 + -13x + 6x2 = 45 + -45 + 5x Combine like terms: 45 + -45 = 0 0 + -13x + 6x2 = 45 + -45 + 5x -13x + 6x2 = 45 + -45 + 5x Combine like terms: 45 + -45 = 0 -13x + 6x2 = 0 + 5x -13x + 6x2 = 5x Solving -13x + 6x2 = 5x Solving for variable 'x'. Reorder the terms: -13x + -5x + 6x2 = 5x + -5x Combine like terms: -13x + -5x = -18x -18x + 6x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -18x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(-3 + x) = 0 Ignore the factor 6.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 '(-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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