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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. (-4 + 3x)(6 + -7x) = 0Subproblem 1
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 = 1.333333333Subproblem 2
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 = 0.8571428571Solution
x = {1.333333333, 0.8571428571}
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