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Simplifying (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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