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Simplifying (6x + 1)(x + -6) = -71x + -60 Reorder the terms: (1 + 6x)(x + -6) = -71x + -60 Reorder the terms: (1 + 6x)(-6 + x) = -71x + -60 Multiply (1 + 6x) * (-6 + x) (1(-6 + x) + 6x * (-6 + x)) = -71x + -60 ((-6 * 1 + x * 1) + 6x * (-6 + x)) = -71x + -60 ((-6 + 1x) + 6x * (-6 + x)) = -71x + -60 (-6 + 1x + (-6 * 6x + x * 6x)) = -71x + -60 (-6 + 1x + (-36x + 6x2)) = -71x + -60 Combine like terms: 1x + -36x = -35x (-6 + -35x + 6x2) = -71x + -60 Reorder the terms: -6 + -35x + 6x2 = -60 + -71x Solving -6 + -35x + 6x2 = -60 + -71x Solving for variable 'x'. Reorder the terms: -6 + 60 + -35x + 71x + 6x2 = -60 + -71x + 60 + 71x Combine like terms: -6 + 60 = 54 54 + -35x + 71x + 6x2 = -60 + -71x + 60 + 71x Combine like terms: -35x + 71x = 36x 54 + 36x + 6x2 = -60 + -71x + 60 + 71x Reorder the terms: 54 + 36x + 6x2 = -60 + 60 + -71x + 71x Combine like terms: -60 + 60 = 0 54 + 36x + 6x2 = 0 + -71x + 71x 54 + 36x + 6x2 = -71x + 71x Combine like terms: -71x + 71x = 0 54 + 36x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(9 + 6x + x2) = 0 Factor a trinomial. 6((3 + x)(3 + x)) = 0 Ignore the factor 6.Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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