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Simplifying (7x + -6)(3x + -8) = 0 Reorder the terms: (-6 + 7x)(3x + -8) = 0 Reorder the terms: (-6 + 7x)(-8 + 3x) = 0 Multiply (-6 + 7x) * (-8 + 3x) (-6(-8 + 3x) + 7x * (-8 + 3x)) = 0 ((-8 * -6 + 3x * -6) + 7x * (-8 + 3x)) = 0 ((48 + -18x) + 7x * (-8 + 3x)) = 0 (48 + -18x + (-8 * 7x + 3x * 7x)) = 0 (48 + -18x + (-56x + 21x2)) = 0 Combine like terms: -18x + -56x = -74x (48 + -74x + 21x2) = 0 Solving 48 + -74x + 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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