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Simplifying (6x + 1)(2x + -4) = 0 Reorder the terms: (1 + 6x)(2x + -4) = 0 Reorder the terms: (1 + 6x)(-4 + 2x) = 0 Multiply (1 + 6x) * (-4 + 2x) (1(-4 + 2x) + 6x * (-4 + 2x)) = 0 ((-4 * 1 + 2x * 1) + 6x * (-4 + 2x)) = 0 ((-4 + 2x) + 6x * (-4 + 2x)) = 0 (-4 + 2x + (-4 * 6x + 2x * 6x)) = 0 (-4 + 2x + (-24x + 12x2)) = 0 Combine like terms: 2x + -24x = -22x (-4 + -22x + 12x2) = 0 Solving -4 + -22x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -11x + 6x2) = 0 Factor a trinomial. 2((-1 + -6x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.1666666667Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.1666666667, 2}
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