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Simplifying (7x + -6)(3x + -4) = 0 Reorder the terms: (-6 + 7x)(3x + -4) = 0 Reorder the terms: (-6 + 7x)(-4 + 3x) = 0 Multiply (-6 + 7x) * (-4 + 3x) (-6(-4 + 3x) + 7x * (-4 + 3x)) = 0 ((-4 * -6 + 3x * -6) + 7x * (-4 + 3x)) = 0 ((24 + -18x) + 7x * (-4 + 3x)) = 0 (24 + -18x + (-4 * 7x + 3x * 7x)) = 0 (24 + -18x + (-28x + 21x2)) = 0 Combine like terms: -18x + -28x = -46x (24 + -46x + 21x2) = 0 Solving 24 + -46x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -7x)(4 + -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 '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0.8571428571, 1.333333333}
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