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Simplifying (5x + 6)(-4x + 3) = 0 Reorder the terms: (6 + 5x)(-4x + 3) = 0 Reorder the terms: (6 + 5x)(3 + -4x) = 0 Multiply (6 + 5x) * (3 + -4x) (6(3 + -4x) + 5x * (3 + -4x)) = 0 ((3 * 6 + -4x * 6) + 5x * (3 + -4x)) = 0 ((18 + -24x) + 5x * (3 + -4x)) = 0 (18 + -24x + (3 * 5x + -4x * 5x)) = 0 (18 + -24x + (15x + -20x2)) = 0 Combine like terms: -24x + 15x = -9x (18 + -9x + -20x2) = 0 Solving 18 + -9x + -20x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(6 + 5x) = 0Subproblem 1
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 = 0.75Subproblem 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 = {0.75, -1.2}
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