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Simplifying (2x + 3x + -6) + (x2 + -18x + 6) = 0 Reorder the terms: (-6 + 2x + 3x) + (x2 + -18x + 6) = 0 Combine like terms: 2x + 3x = 5x (-6 + 5x) + (x2 + -18x + 6) = 0 Remove parenthesis around (-6 + 5x) -6 + 5x + (x2 + -18x + 6) = 0 Reorder the terms: -6 + 5x + (6 + -18x + x2) = 0 Remove parenthesis around (6 + -18x + x2) -6 + 5x + 6 + -18x + x2 = 0 Reorder the terms: -6 + 6 + 5x + -18x + x2 = 0 Combine like terms: -6 + 6 = 0 0 + 5x + -18x + x2 = 0 5x + -18x + x2 = 0 Combine like terms: 5x + -18x = -13x -13x + x2 = 0 Solving -13x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 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 '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Simplifying x = 13Solution
x = {0, 13}
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