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Simplifying (3x + -6)(9x + 7) = 0 Reorder the terms: (-6 + 3x)(9x + 7) = 0 Reorder the terms: (-6 + 3x)(7 + 9x) = 0 Multiply (-6 + 3x) * (7 + 9x) (-6(7 + 9x) + 3x * (7 + 9x)) = 0 ((7 * -6 + 9x * -6) + 3x * (7 + 9x)) = 0 ((-42 + -54x) + 3x * (7 + 9x)) = 0 (-42 + -54x + (7 * 3x + 9x * 3x)) = 0 (-42 + -54x + (21x + 27x2)) = 0 Combine like terms: -54x + 21x = -33x (-42 + -33x + 27x2) = 0 Solving -42 + -33x + 27x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-14 + -11x + 9x2) = 0 Factor a trinomial. 3((-7 + -9x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 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 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778Subproblem 2
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 = 2Solution
x = {-0.7777777778, 2}
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