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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 = -23x (6 + -23x + 20x2) = 0 Solving 6 + -23x + 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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