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Simplifying (-2 + -5x)(3 + -4x) = 0 Multiply (-2 + -5x) * (3 + -4x) (-2(3 + -4x) + -5x * (3 + -4x)) = 0 ((3 * -2 + -4x * -2) + -5x * (3 + -4x)) = 0 ((-6 + 8x) + -5x * (3 + -4x)) = 0 (-6 + 8x + (3 * -5x + -4x * -5x)) = 0 (-6 + 8x + (-15x + 20x2)) = 0 Combine like terms: 8x + -15x = -7x (-6 + -7x + 20x2) = 0 Solving -6 + -7x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -5x)(3 + -4x) = 0Subproblem 1
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 = -0.4Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-0.4, 0.75}
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