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Simplifying (3x + -5)(3x + -5) = 16 Reorder the terms: (-5 + 3x)(3x + -5) = 16 Reorder the terms: (-5 + 3x)(-5 + 3x) = 16 Multiply (-5 + 3x) * (-5 + 3x) (-5(-5 + 3x) + 3x * (-5 + 3x)) = 16 ((-5 * -5 + 3x * -5) + 3x * (-5 + 3x)) = 16 ((25 + -15x) + 3x * (-5 + 3x)) = 16 (25 + -15x + (-5 * 3x + 3x * 3x)) = 16 (25 + -15x + (-15x + 9x2)) = 16 Combine like terms: -15x + -15x = -30x (25 + -30x + 9x2) = 16 Solving 25 + -30x + 9x2 = 16 Solving for variable 'x'. Reorder the terms: 25 + -16 + -30x + 9x2 = 16 + -16 Combine like terms: 25 + -16 = 9 9 + -30x + 9x2 = 16 + -16 Combine like terms: 16 + -16 = 0 9 + -30x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -10x + 3x2) = 0 Factor a trinomial. 3((1 + -3x)(3 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 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 = {0.3333333333, 3}
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