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Simplifying (7 + -1x)(9 + -6x) = 0 Multiply (7 + -1x) * (9 + -6x) (7(9 + -6x) + -1x * (9 + -6x)) = 0 ((9 * 7 + -6x * 7) + -1x * (9 + -6x)) = 0 ((63 + -42x) + -1x * (9 + -6x)) = 0 (63 + -42x + (9 * -1x + -6x * -1x)) = 0 (63 + -42x + (-9x + 6x2)) = 0 Combine like terms: -42x + -9x = -51x (63 + -51x + 6x2) = 0 Solving 63 + -51x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -17x + 2x2) = 0 Factor a trinomial. 3((3 + -2x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 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 = {1.5, 7}
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