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Simplifying (3x + -2)(5x + 4) = 0 Reorder the terms: (-2 + 3x)(5x + 4) = 0 Reorder the terms: (-2 + 3x)(4 + 5x) = 0 Multiply (-2 + 3x) * (4 + 5x) (-2(4 + 5x) + 3x * (4 + 5x)) = 0 ((4 * -2 + 5x * -2) + 3x * (4 + 5x)) = 0 ((-8 + -10x) + 3x * (4 + 5x)) = 0 (-8 + -10x + (4 * 3x + 5x * 3x)) = 0 (-8 + -10x + (12x + 15x2)) = 0 Combine like terms: -10x + 12x = 2x (-8 + 2x + 15x2) = 0 Solving -8 + 2x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -5x)(2 + -3x) = 0Subproblem 1
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 = -0.8Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-0.8, 0.6666666667}
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