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Simplifying (5x + -4)(3x + 1) = 0 Reorder the terms: (-4 + 5x)(3x + 1) = 0 Reorder the terms: (-4 + 5x)(1 + 3x) = 0 Multiply (-4 + 5x) * (1 + 3x) (-4(1 + 3x) + 5x * (1 + 3x)) = 0 ((1 * -4 + 3x * -4) + 5x * (1 + 3x)) = 0 ((-4 + -12x) + 5x * (1 + 3x)) = 0 (-4 + -12x + (1 * 5x + 3x * 5x)) = 0 (-4 + -12x + (5x + 15x2)) = 0 Combine like terms: -12x + 5x = -7x (-4 + -7x + 15x2) = 0 Solving -4 + -7x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(4 + -5x) = 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 '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {-0.3333333333, 0.8}
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