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Simplifying (3x + 4)(6 + -1x) = 0 Reorder the terms: (4 + 3x)(6 + -1x) = 0 Multiply (4 + 3x) * (6 + -1x) (4(6 + -1x) + 3x * (6 + -1x)) = 0 ((6 * 4 + -1x * 4) + 3x * (6 + -1x)) = 0 ((24 + -4x) + 3x * (6 + -1x)) = 0 (24 + -4x + (6 * 3x + -1x * 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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