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Simplifying (1x2 + 2x + -6) + (x2 + -18x + 6) = 0 Reorder the terms: (-6 + 2x + 1x2) + (x2 + -18x + 6) = 0 Remove parenthesis around (-6 + 2x + 1x2) -6 + 2x + 1x2 + (x2 + -18x + 6) = 0 Reorder the terms: -6 + 2x + 1x2 + (6 + -18x + x2) = 0 Remove parenthesis around (6 + -18x + x2) -6 + 2x + 1x2 + 6 + -18x + x2 = 0 Reorder the terms: -6 + 6 + 2x + -18x + 1x2 + x2 = 0 Combine like terms: -6 + 6 = 0 0 + 2x + -18x + 1x2 + x2 = 0 2x + -18x + 1x2 + x2 = 0 Combine like terms: 2x + -18x = -16x -16x + 1x2 + x2 = 0 Combine like terms: 1x2 + x2 = 2x2 -16x + 2x2 = 0 Solving -16x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-8 + x) = 0 Ignore the factor 2.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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Solution
x = {0, 8}
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