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Simplifying (5x + -2)(-3x + 4) = 0 Reorder the terms: (-2 + 5x)(-3x + 4) = 0 Reorder the terms: (-2 + 5x)(4 + -3x) = 0 Multiply (-2 + 5x) * (4 + -3x) (-2(4 + -3x) + 5x * (4 + -3x)) = 0 ((4 * -2 + -3x * -2) + 5x * (4 + -3x)) = 0 ((-8 + 6x) + 5x * (4 + -3x)) = 0 (-8 + 6x + (4 * 5x + -3x * 5x)) = 0 (-8 + 6x + (20x + -15x2)) = 0 Combine like terms: 6x + 20x = 26x (-8 + 26x + -15x2) = 0 Solving -8 + 26x + -15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + 3x)(2 + -5x) = 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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {1.333333333, 0.4}
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