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Simplifying (3x + -3)(7x + 3) = 0 Reorder the terms: (-3 + 3x)(7x + 3) = 0 Reorder the terms: (-3 + 3x)(3 + 7x) = 0 Multiply (-3 + 3x) * (3 + 7x) (-3(3 + 7x) + 3x * (3 + 7x)) = 0 ((3 * -3 + 7x * -3) + 3x * (3 + 7x)) = 0 ((-9 + -21x) + 3x * (3 + 7x)) = 0 (-9 + -21x + (3 * 3x + 7x * 3x)) = 0 (-9 + -21x + (9x + 21x2)) = 0 Combine like terms: -21x + 9x = -12x (-9 + -12x + 21x2) = 0 Solving -9 + -12x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -4x + 7x2) = 0 Factor a trinomial. 3((-3 + -7x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -7x)' equal to zero and attempt to solve: Simplifying -3 + -7x = 0 Solving -3 + -7x = 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 + -7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 0 + 3 -7x = 0 + 3 Combine like terms: 0 + 3 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.4285714286, 1}
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