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Simplifying (5x + 3)(-1x + 3) = 0 Reorder the terms: (3 + 5x)(-1x + 3) = 0 Reorder the terms: (3 + 5x)(3 + -1x) = 0 Multiply (3 + 5x) * (3 + -1x) (3(3 + -1x) + 5x * (3 + -1x)) = 0 ((3 * 3 + -1x * 3) + 5x * (3 + -1x)) = 0 ((9 + -3x) + 5x * (3 + -1x)) = 0 (9 + -3x + (3 * 5x + -1x * 5x)) = 0 (9 + -3x + (15x + -5x2)) = 0 Combine like terms: -3x + 15x = 12x (9 + 12x + -5x2) = 0 Solving 9 + 12x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(3 + 5x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, -0.6}
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