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Simplifying (3x + -8)(7x + 6) = 0 Reorder the terms: (-8 + 3x)(7x + 6) = 0 Reorder the terms: (-8 + 3x)(6 + 7x) = 0 Multiply (-8 + 3x) * (6 + 7x) (-8(6 + 7x) + 3x * (6 + 7x)) = 0 ((6 * -8 + 7x * -8) + 3x * (6 + 7x)) = 0 ((-48 + -56x) + 3x * (6 + 7x)) = 0 (-48 + -56x + (6 * 3x + 7x * 3x)) = 0 (-48 + -56x + (18x + 21x2)) = 0 Combine like terms: -56x + 18x = -38x (-48 + -38x + 21x2) = 0 Solving -48 + -38x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -7x)(8 + -3x) = 0Subproblem 1
Set the factor '(-6 + -7x)' equal to zero and attempt to solve: Simplifying -6 + -7x = 0 Solving -6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 0 + 6 -7x = 0 + 6 Combine like terms: 0 + 6 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-0.8571428571, 2.666666667}
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