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Simplifying (3x + 4)(6x + -1) = 0 Reorder the terms: (4 + 3x)(6x + -1) = 0 Reorder the terms: (4 + 3x)(-1 + 6x) = 0 Multiply (4 + 3x) * (-1 + 6x) (4(-1 + 6x) + 3x * (-1 + 6x)) = 0 ((-1 * 4 + 6x * 4) + 3x * (-1 + 6x)) = 0 ((-4 + 24x) + 3x * (-1 + 6x)) = 0 (-4 + 24x + (-1 * 3x + 6x * 3x)) = 0 (-4 + 24x + (-3x + 18x2)) = 0 Combine like terms: 24x + -3x = 21x (-4 + 21x + 18x2) = 0 Solving -4 + 21x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(1 + -6x) = 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 '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {-1.333333333, 0.1666666667}
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