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Simplifying (8 + -9x)(3 + 5x) = 0 Multiply (8 + -9x) * (3 + 5x) (8(3 + 5x) + -9x * (3 + 5x)) = 0 ((3 * 8 + 5x * 8) + -9x * (3 + 5x)) = 0 ((24 + 40x) + -9x * (3 + 5x)) = 0 (24 + 40x + (3 * -9x + 5x * -9x)) = 0 (24 + 40x + (-27x + -45x2)) = 0 Combine like terms: 40x + -27x = 13x (24 + 13x + -45x2) = 0 Solving 24 + 13x + -45x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -9x)(3 + 5x) = 0Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {0.8888888889, -0.6}
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