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Simplifying (3x + 1)(4x + -5) = 0 Reorder the terms: (1 + 3x)(4x + -5) = 0 Reorder the terms: (1 + 3x)(-5 + 4x) = 0 Multiply (1 + 3x) * (-5 + 4x) (1(-5 + 4x) + 3x * (-5 + 4x)) = 0 ((-5 * 1 + 4x * 1) + 3x * (-5 + 4x)) = 0 ((-5 + 4x) + 3x * (-5 + 4x)) = 0 (-5 + 4x + (-5 * 3x + 4x * 3x)) = 0 (-5 + 4x + (-15x + 12x2)) = 0 Combine like terms: 4x + -15x = -11x (-5 + -11x + 12x2) = 0 Solving -5 + -11x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(5 + -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 '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-0.3333333333, 1.25}
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