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Simplifying (-3x + -6)(7x + 3) = 0 Reorder the terms: (-6 + -3x)(7x + 3) = 0 Reorder the terms: (-6 + -3x)(3 + 7x) = 0 Multiply (-6 + -3x) * (3 + 7x) (-6(3 + 7x) + -3x * (3 + 7x)) = 0 ((3 * -6 + 7x * -6) + -3x * (3 + 7x)) = 0 ((-18 + -42x) + -3x * (3 + 7x)) = 0 (-18 + -42x + (3 * -3x + 7x * -3x)) = 0 (-18 + -42x + (-9x + -21x2)) = 0 Combine like terms: -42x + -9x = -51x (-18 + -51x + -21x2) = 0 Solving -18 + -51x + -21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3'. -3(6 + 17x + 7x2) = 0 Factor a trinomial. -3((2 + x)(3 + 7x)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
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 = -0.4285714286Solution
x = {-2, -0.4285714286}
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