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Simplifying X(x2 + 3x + 16) = 0 Reorder the terms: X(16 + 3x + x2) = 0 (16 * X + 3x * X + x2 * X) = 0 (16X + 3xX + x2X) = 0 Solving 16X + 3xX + x2X = 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(16 + 3x + x2) = 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 '(16 + 3x + x2)' equal to zero and attempt to solve: Simplifying 16 + 3x + x2 = 0 Solving 16 + 3x + x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 3x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 3x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x + x2 = 0 + -16 3x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 3x + x2 = -16 Add '-3x' to each side of the equation. 3x + -3x + x2 = -16 + -3x Combine like terms: 3x + -3x = 0 0 + x2 = -16 + -3x x2 = -16 + -3x Add '-1x2' to each side of the equation. x2 + -1x2 = -16 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -16 + -3x + -1x2 Simplifying 0 = -16 + -3x + -1x2 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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