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Simplifying (9x + 7)(2x + -6) = 0 Reorder the terms: (7 + 9x)(2x + -6) = 0 Reorder the terms: (7 + 9x)(-6 + 2x) = 0 Multiply (7 + 9x) * (-6 + 2x) (7(-6 + 2x) + 9x * (-6 + 2x)) = 0 ((-6 * 7 + 2x * 7) + 9x * (-6 + 2x)) = 0 ((-42 + 14x) + 9x * (-6 + 2x)) = 0 (-42 + 14x + (-6 * 9x + 2x * 9x)) = 0 (-42 + 14x + (-54x + 18x2)) = 0 Combine like terms: 14x + -54x = -40x (-42 + -40x + 18x2) = 0 Solving -42 + -40x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + -20x + 9x2) = 0 Factor a trinomial. 2((-7 + -9x)(3 + -1x)) = 0 Ignore the factor 2.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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.7777777778, 3}
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