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Simplifying (6x + -2)(5x + 3) = 0 Reorder the terms: (-2 + 6x)(5x + 3) = 0 Reorder the terms: (-2 + 6x)(3 + 5x) = 0 Multiply (-2 + 6x) * (3 + 5x) (-2(3 + 5x) + 6x * (3 + 5x)) = 0 ((3 * -2 + 5x * -2) + 6x * (3 + 5x)) = 0 ((-6 + -10x) + 6x * (3 + 5x)) = 0 (-6 + -10x + (3 * 6x + 5x * 6x)) = 0 (-6 + -10x + (18x + 30x2)) = 0 Combine like terms: -10x + 18x = 8x (-6 + 8x + 30x2) = 0 Solving -6 + 8x + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 4x + 15x2) = 0 Factor a trinomial. 2((-3 + -5x)(1 + -3x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.6Subproblem 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 = {-0.6, 0.3333333333}
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