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Simplifying (3x + -9)(7x + 1) = 0 Reorder the terms: (-9 + 3x)(7x + 1) = 0 Reorder the terms: (-9 + 3x)(1 + 7x) = 0 Multiply (-9 + 3x) * (1 + 7x) (-9(1 + 7x) + 3x * (1 + 7x)) = 0 ((1 * -9 + 7x * -9) + 3x * (1 + 7x)) = 0 ((-9 + -63x) + 3x * (1 + 7x)) = 0 (-9 + -63x + (1 * 3x + 7x * 3x)) = 0 (-9 + -63x + (3x + 21x2)) = 0 Combine like terms: -63x + 3x = -60x (-9 + -60x + 21x2) = 0 Solving -9 + -60x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -20x + 7x2) = 0 Factor a trinomial. 3((-1 + -7x)(3 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 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 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 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 = {-0.1428571429, 3}
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