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Simplifying (8x + 3)(-7x + -9) = 0 Reorder the terms: (3 + 8x)(-7x + -9) = 0 Reorder the terms: (3 + 8x)(-9 + -7x) = 0 Multiply (3 + 8x) * (-9 + -7x) (3(-9 + -7x) + 8x * (-9 + -7x)) = 0 ((-9 * 3 + -7x * 3) + 8x * (-9 + -7x)) = 0 ((-27 + -21x) + 8x * (-9 + -7x)) = 0 (-27 + -21x + (-9 * 8x + -7x * 8x)) = 0 (-27 + -21x + (-72x + -56x2)) = 0 Combine like terms: -21x + -72x = -93x (-27 + -93x + -56x2) = 0 Solving -27 + -93x + -56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(27 + 93x + 56x2) = 0 Factor a trinomial. -1((9 + 7x)(3 + 8x)) = 0 Ignore the factor -1.Subproblem 1
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 = -1.285714286Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 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 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {-1.285714286, -0.375}
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