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Simplifying (13x + 6)(13x + -6) = 169x + -36 Reorder the terms: (6 + 13x)(13x + -6) = 169x + -36 Reorder the terms: (6 + 13x)(-6 + 13x) = 169x + -36 Multiply (6 + 13x) * (-6 + 13x) (6(-6 + 13x) + 13x * (-6 + 13x)) = 169x + -36 ((-6 * 6 + 13x * 6) + 13x * (-6 + 13x)) = 169x + -36 ((-36 + 78x) + 13x * (-6 + 13x)) = 169x + -36 (-36 + 78x + (-6 * 13x + 13x * 13x)) = 169x + -36 (-36 + 78x + (-78x + 169x2)) = 169x + -36 Combine like terms: 78x + -78x = 0 (-36 + 0 + 169x2) = 169x + -36 (-36 + 169x2) = 169x + -36 Reorder the terms: -36 + 169x2 = -36 + 169x Add '36' to each side of the equation. -36 + 36 + 169x2 = -36 + 36 + 169x Combine like terms: -36 + 36 = 0 0 + 169x2 = -36 + 36 + 169x 169x2 = -36 + 36 + 169x Combine like terms: -36 + 36 = 0 169x2 = 0 + 169x 169x2 = 169x Solving 169x2 = 169x Solving for variable 'x'. Reorder the terms: -169x + 169x2 = 169x + -169x Combine like terms: 169x + -169x = 0 -169x + 169x2 = 0 Factor out the Greatest Common Factor (GCF), '169x'. 169x(-1 + x) = 0 Ignore the factor 169.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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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