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Simplifying (x + -3)(3x + -5) = 0 Reorder the terms: (-3 + x)(3x + -5) = 0 Reorder the terms: (-3 + x)(-5 + 3x) = 0 Multiply (-3 + x) * (-5 + 3x) (-3(-5 + 3x) + x(-5 + 3x)) = 0 ((-5 * -3 + 3x * -3) + x(-5 + 3x)) = 0 ((15 + -9x) + x(-5 + 3x)) = 0 (15 + -9x + (-5 * x + 3x * x)) = 0 (15 + -9x + (-5x + 3x2)) = 0 Combine like terms: -9x + -5x = -14x (15 + -14x + 3x2) = 0 Solving 15 + -14x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -3x)(3 + -1x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 2
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 = 3Solution
x = {1.666666667, 3}
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