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Simplifying (3x + 2)(6x)(5x) = 0 Reorder the terms: (2 + 3x)(6x)(5x) = 0 Remove parenthesis around (6x) (2 + 3x) * 6x(5x) = 0 Remove parenthesis around (5x) (2 + 3x) * 6x * 5x = 0 Reorder the terms for easier multiplication: 6 * 5x * x(2 + 3x) = 0 Multiply 6 * 5 30x * x(2 + 3x) = 0 Multiply x * x 30x2(2 + 3x) = 0 (2 * 30x2 + 3x * 30x2) = 0 (60x2 + 90x3) = 0 Solving 60x2 + 90x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '30x2'. 30x2(2 + 3x) = 0 Ignore the factor 30.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {0, -0.6666666667}
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