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Simplifying (5x + 1)(3x + 3) = 0 Reorder the terms: (1 + 5x)(3x + 3) = 0 Reorder the terms: (1 + 5x)(3 + 3x) = 0 Multiply (1 + 5x) * (3 + 3x) (1(3 + 3x) + 5x * (3 + 3x)) = 0 ((3 * 1 + 3x * 1) + 5x * (3 + 3x)) = 0 ((3 + 3x) + 5x * (3 + 3x)) = 0 (3 + 3x + (3 * 5x + 3x * 5x)) = 0 (3 + 3x + (15x + 15x2)) = 0 Combine like terms: 3x + 15x = 18x (3 + 18x + 15x2) = 0 Solving 3 + 18x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + 6x + 5x2) = 0 Factor a trinomial. 3((1 + x)(1 + 5x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {-1, -0.2}
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