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Simplifying (7 + -1x)(3x + 9) = 0 Reorder the terms: (7 + -1x)(9 + 3x) = 0 Multiply (7 + -1x) * (9 + 3x) (7(9 + 3x) + -1x * (9 + 3x)) = 0 ((9 * 7 + 3x * 7) + -1x * (9 + 3x)) = 0 ((63 + 21x) + -1x * (9 + 3x)) = 0 (63 + 21x + (9 * -1x + 3x * -1x)) = 0 (63 + 21x + (-9x + -3x2)) = 0 Combine like terms: 21x + -9x = 12x (63 + 12x + -3x2) = 0 Solving 63 + 12x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(21 + 4x + -1x2) = 0 Factor a trinomial. 3((7 + -1x)(3 + x)) = 0 Ignore the factor 3.Subproblem 1
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 = 7Subproblem 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 = {7, -3}
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