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Simplifying (7x + -9)(6x + 2) = 0 Reorder the terms: (-9 + 7x)(6x + 2) = 0 Reorder the terms: (-9 + 7x)(2 + 6x) = 0 Multiply (-9 + 7x) * (2 + 6x) (-9(2 + 6x) + 7x * (2 + 6x)) = 0 ((2 * -9 + 6x * -9) + 7x * (2 + 6x)) = 0 ((-18 + -54x) + 7x * (2 + 6x)) = 0 (-18 + -54x + (2 * 7x + 6x * 7x)) = 0 (-18 + -54x + (14x + 42x2)) = 0 Combine like terms: -54x + 14x = -40x (-18 + -40x + 42x2) = 0 Solving -18 + -40x + 42x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + -20x + 21x2) = 0 Factor a trinomial. 2((-1 + -3x)(9 + -7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {-0.3333333333, 1.285714286}
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