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Simplifying 2X3 + -7X2 + 10X = 0 Reorder the terms: 10X + -7X2 + 2X3 = 0 Solving 10X + -7X2 + 2X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(10 + -7X + 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 '(10 + -7X + 2X2)' equal to zero and attempt to solve: Simplifying 10 + -7X + 2X2 = 0 Solving 10 + -7X + 2X2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5 + -3.5X + X2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3.5X + -5 + X2 = 0 + -5 Reorder the terms: 5 + -5 + -3.5X + X2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3.5X + X2 = 0 + -5 -3.5X + X2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3.5X + X2 = -5 The X term is -3.5X. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5X + 3.0625 + X2 = -5 + 3.0625 Reorder the terms: 3.0625 + -3.5X + X2 = -5 + 3.0625 Combine like terms: -5 + 3.0625 = -1.9375 3.0625 + -3.5X + X2 = -1.9375 Factor a perfect square on the left side: (X + -1.75)(X + -1.75) = -1.9375 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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