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