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Simplifying (4x + -13)(3x + 1) = 0 Reorder the terms: (-13 + 4x)(3x + 1) = 0 Reorder the terms: (-13 + 4x)(1 + 3x) = 0 Multiply (-13 + 4x) * (1 + 3x) (-13(1 + 3x) + 4x * (1 + 3x)) = 0 ((1 * -13 + 3x * -13) + 4x * (1 + 3x)) = 0 ((-13 + -39x) + 4x * (1 + 3x)) = 0 (-13 + -39x + (1 * 4x + 3x * 4x)) = 0 (-13 + -39x + (4x + 12x2)) = 0 Combine like terms: -39x + 4x = -35x (-13 + -35x + 12x2) = 0 Solving -13 + -35x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(13 + -4x) = 0Subproblem 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 '(13 + -4x)' equal to zero and attempt to solve: Simplifying 13 + -4x = 0 Solving 13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 0 + -13 -4x = 0 + -13 Combine like terms: 0 + -13 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25Solution
x = {-0.3333333333, 3.25}
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