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Simplifying (9x + 2)(x2 + 6x) = 0 Reorder the terms: (2 + 9x)(x2 + 6x) = 0 Reorder the terms: (2 + 9x)(6x + x2) = 0 Multiply (2 + 9x) * (6x + x2) (2(6x + x2) + 9x * (6x + x2)) = 0 ((6x * 2 + x2 * 2) + 9x * (6x + x2)) = 0 ((12x + 2x2) + 9x * (6x + x2)) = 0 (12x + 2x2 + (6x * 9x + x2 * 9x)) = 0 (12x + 2x2 + (54x2 + 9x3)) = 0 Combine like terms: 2x2 + 54x2 = 56x2 (12x + 56x2 + 9x3) = 0 Solving 12x + 56x2 + 9x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(12 + 56x + 9x2) = 0 Factor a trinomial. x((6 + x)(2 + 9x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 3
Set the factor '(2 + 9x)' equal to zero and attempt to solve: Simplifying 2 + 9x = 0 Solving 2 + 9x = 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 + 9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 0 + -2 9x = 0 + -2 Combine like terms: 0 + -2 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222Solution
x = {0, -6, -0.2222222222}
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