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Simplifying (3x + -4)(-4x + 5) = 0 Reorder the terms: (-4 + 3x)(-4x + 5) = 0 Reorder the terms: (-4 + 3x)(5 + -4x) = 0 Multiply (-4 + 3x) * (5 + -4x) (-4(5 + -4x) + 3x * (5 + -4x)) = 0 ((5 * -4 + -4x * -4) + 3x * (5 + -4x)) = 0 ((-20 + 16x) + 3x * (5 + -4x)) = 0 (-20 + 16x + (5 * 3x + -4x * 3x)) = 0 (-20 + 16x + (15x + -12x2)) = 0 Combine like terms: 16x + 15x = 31x (-20 + 31x + -12x2) = 0 Solving -20 + 31x + -12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + 3x)(5 + -4x) = 0Subproblem 1
Set the factor '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 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 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 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 = {1.333333333, 1.25}
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