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Simplifying 2X3 + X2 + 15X = 0 Reorder the terms: 15X + X2 + 2X3 = 0 Solving 15X + X2 + 2X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(15 + X + 2X2) = 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 '(15 + X + 2X2)' equal to zero and attempt to solve: Simplifying 15 + X + 2X2 = 0 Solving 15 + X + 2X2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + 0.5X + X2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 0.5X + -7.5 + X2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 0.5X + X2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 0.5X + X2 = 0 + -7.5 0.5X + X2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 0.5X + X2 = -7.5 The X term is X. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5X + 0.25 + X2 = -7.5 + 0.25 Reorder the terms: 0.25 + 0.5X + X2 = -7.5 + 0.25 Combine like terms: -7.5 + 0.25 = -7.25 0.25 + 0.5X + X2 = -7.25 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -7.25 Can't calculate square root of the right side. 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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