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Simplifying (9x + 3)(4x + -1) = 0 Reorder the terms: (3 + 9x)(4x + -1) = 0 Reorder the terms: (3 + 9x)(-1 + 4x) = 0 Multiply (3 + 9x) * (-1 + 4x) (3(-1 + 4x) + 9x * (-1 + 4x)) = 0 ((-1 * 3 + 4x * 3) + 9x * (-1 + 4x)) = 0 ((-3 + 12x) + 9x * (-1 + 4x)) = 0 (-3 + 12x + (-1 * 9x + 4x * 9x)) = 0 (-3 + 12x + (-9x + 36x2)) = 0 Combine like terms: 12x + -9x = 3x (-3 + 3x + 36x2) = 0 Solving -3 + 3x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + x + 12x2) = 0 Factor a trinomial. 3((-1 + -3x)(1 + -4x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-0.3333333333, 0.25}
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