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Simplifying (7x + 3)(-8x + -6) = 0 Reorder the terms: (3 + 7x)(-8x + -6) = 0 Reorder the terms: (3 + 7x)(-6 + -8x) = 0 Multiply (3 + 7x) * (-6 + -8x) (3(-6 + -8x) + 7x * (-6 + -8x)) = 0 ((-6 * 3 + -8x * 3) + 7x * (-6 + -8x)) = 0 ((-18 + -24x) + 7x * (-6 + -8x)) = 0 (-18 + -24x + (-6 * 7x + -8x * 7x)) = 0 (-18 + -24x + (-42x + -56x2)) = 0 Combine like terms: -24x + -42x = -66x (-18 + -66x + -56x2) = 0 Solving -18 + -66x + -56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(9 + 33x + 28x2) = 0 Factor a trinomial. -2((3 + 4x)(3 + 7x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 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 = {-0.75, -0.4285714286}
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