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Simplifying x(x + 1)(5x + 6) = 0 Reorder the terms: x(1 + x)(5x + 6) = 0 Reorder the terms: x(1 + x)(6 + 5x) = 0 Multiply (1 + x) * (6 + 5x) x(1(6 + 5x) + x(6 + 5x)) = 0 x((6 * 1 + 5x * 1) + x(6 + 5x)) = 0 x((6 + 5x) + x(6 + 5x)) = 0 x(6 + 5x + (6 * x + 5x * x)) = 0 x(6 + 5x + (6x + 5x2)) = 0 Combine like terms: 5x + 6x = 11x x(6 + 11x + 5x2) = 0 (6 * x + 11x * x + 5x2 * x) = 0 (6x + 11x2 + 5x3) = 0 Solving 6x + 11x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(6 + 11x + 5x2) = 0 Factor a trinomial. x((6 + 5x)(1 + x)) = 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 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 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 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Subproblem 3
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 = -1Solution
x = {0, -1.2, -1}
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