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Simplifying (5 + 15x)(5 + 15x) = 0 Multiply (5 + 15x) * (5 + 15x) (5(5 + 15x) + 15x * (5 + 15x)) = 0 ((5 * 5 + 15x * 5) + 15x * (5 + 15x)) = 0 ((25 + 75x) + 15x * (5 + 15x)) = 0 (25 + 75x + (5 * 15x + 15x * 15x)) = 0 (25 + 75x + (75x + 225x2)) = 0 Combine like terms: 75x + 75x = 150x (25 + 150x + 225x2) = 0 Solving 25 + 150x + 225x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25'. 25(1 + 6x + 9x2) = 0 Factor a trinomial. 25((1 + 3x)(1 + 3x)) = 0 Ignore the factor 25.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 '(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 = -0.3333333333Solution
x = {-0.3333333333, -0.3333333333}
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