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Simplifying (3x + 4)(x + -6) = 0 Reorder the terms: (4 + 3x)(x + -6) = 0 Reorder the terms: (4 + 3x)(-6 + x) = 0 Multiply (4 + 3x) * (-6 + x) (4(-6 + x) + 3x * (-6 + x)) = 0 ((-6 * 4 + x * 4) + 3x * (-6 + x)) = 0 ((-24 + 4x) + 3x * (-6 + x)) = 0 (-24 + 4x + (-6 * 3x + x * 3x)) = 0 (-24 + 4x + (-18x + 3x2)) = 0 Combine like terms: 4x + -18x = -14x (-24 + -14x + 3x2) = 0 Solving -24 + -14x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(6 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-1.333333333, 6}
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