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Simplifying X(2x + 1)(x + 3) = 0 Reorder the terms: X(1 + 2x)(x + 3) = 0 Reorder the terms: X(1 + 2x)(3 + x) = 0 Multiply (1 + 2x) * (3 + x) X(1(3 + x) + 2x * (3 + x)) = 0 X((3 * 1 + x * 1) + 2x * (3 + x)) = 0 X((3 + 1x) + 2x * (3 + x)) = 0 X(3 + 1x + (3 * 2x + x * 2x)) = 0 X(3 + 1x + (6x + 2x2)) = 0 Combine like terms: 1x + 6x = 7x X(3 + 7x + 2x2) = 0 (3 * X + 7x * X + 2x2 * X) = 0 (3X + 7xX + 2x2X) = 0 Solving 3X + 7xX + 2x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'X'. X(3 + 7x + 2x2) = 0 Factor a trinomial. X((3 + x)(1 + 2x)) = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
X = {0}
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