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Simplifying (9x + -7)(-8x + -6) = 0 Reorder the terms: (-7 + 9x)(-8x + -6) = 0 Reorder the terms: (-7 + 9x)(-6 + -8x) = 0 Multiply (-7 + 9x) * (-6 + -8x) (-7(-6 + -8x) + 9x * (-6 + -8x)) = 0 ((-6 * -7 + -8x * -7) + 9x * (-6 + -8x)) = 0 ((42 + 56x) + 9x * (-6 + -8x)) = 0 (42 + 56x + (-6 * 9x + -8x * 9x)) = 0 (42 + 56x + (-54x + -72x2)) = 0 Combine like terms: 56x + -54x = 2x (42 + 2x + -72x2) = 0 Solving 42 + 2x + -72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(21 + x + -36x2) = 0 Factor a trinomial. 2((7 + -9x)(3 + 4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Subproblem 2
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 = -0.75Solution
x = {0.7777777778, -0.75}
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