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Simplifying 6(13 + -1x) + 2x(x + -13) = 0 (13 * 6 + -1x * 6) + 2x(x + -13) = 0 (78 + -6x) + 2x(x + -13) = 0 Reorder the terms: 78 + -6x + 2x(-13 + x) = 0 78 + -6x + (-13 * 2x + x * 2x) = 0 78 + -6x + (-26x + 2x2) = 0 Combine like terms: -6x + -26x = -32x 78 + -32x + 2x2 = 0 Solving 78 + -32x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(39 + -16x + x2) = 0 Factor a trinomial. 2((3 + -1x)(13 + -1x)) = 0 Ignore the factor 2.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 '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {3, 13}
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