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Simplifying (-3x + 2)(9x + -5) = 0 Reorder the terms: (2 + -3x)(9x + -5) = 0 Reorder the terms: (2 + -3x)(-5 + 9x) = 0 Multiply (2 + -3x) * (-5 + 9x) (2(-5 + 9x) + -3x * (-5 + 9x)) = 0 ((-5 * 2 + 9x * 2) + -3x * (-5 + 9x)) = 0 ((-10 + 18x) + -3x * (-5 + 9x)) = 0 (-10 + 18x + (-5 * -3x + 9x * -3x)) = 0 (-10 + 18x + (15x + -27x2)) = 0 Combine like terms: 18x + 15x = 33x (-10 + 33x + -27x2) = 0 Solving -10 + 33x + -27x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + 3x)(5 + -9x) = 0Subproblem 1
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 = 0.6666666667Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {0.6666666667, 0.5555555556}
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