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Simplifying (7 + -1x)(6 + -3x) = 0 Multiply (7 + -1x) * (6 + -3x) (7(6 + -3x) + -1x * (6 + -3x)) = 0 ((6 * 7 + -3x * 7) + -1x * (6 + -3x)) = 0 ((42 + -21x) + -1x * (6 + -3x)) = 0 (42 + -21x + (6 * -1x + -3x * -1x)) = 0 (42 + -21x + (-6x + 3x2)) = 0 Combine like terms: -21x + -6x = -27x (42 + -27x + 3x2) = 0 Solving 42 + -27x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(14 + -9x + x2) = 0 Factor a trinomial. 3((2 + -1x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {2, 7}
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