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Simplifying (5x + -6)(3x + -2) = 0 Reorder the terms: (-6 + 5x)(3x + -2) = 0 Reorder the terms: (-6 + 5x)(-2 + 3x) = 0 Multiply (-6 + 5x) * (-2 + 3x) (-6(-2 + 3x) + 5x * (-2 + 3x)) = 0 ((-2 * -6 + 3x * -6) + 5x * (-2 + 3x)) = 0 ((12 + -18x) + 5x * (-2 + 3x)) = 0 (12 + -18x + (-2 * 5x + 3x * 5x)) = 0 (12 + -18x + (-10x + 15x2)) = 0 Combine like terms: -18x + -10x = -28x (12 + -28x + 15x2) = 0 Solving 12 + -28x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(6 + -5x) = 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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {0.6666666667, 1.2}
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