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Simplifying 8x3 + -17x2 + 35x = 0 Reorder the terms: 35x + -17x2 + 8x3 = 0 Solving 35x + -17x2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(35 + -17x + 8x2) = 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 '(35 + -17x + 8x2)' equal to zero and attempt to solve: Simplifying 35 + -17x + 8x2 = 0 Solving 35 + -17x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 4.375 + -2.125x + x2 = 0 Move the constant term to the right: Add '-4.375' to each side of the equation. 4.375 + -2.125x + -4.375 + x2 = 0 + -4.375 Reorder the terms: 4.375 + -4.375 + -2.125x + x2 = 0 + -4.375 Combine like terms: 4.375 + -4.375 = 0.000 0.000 + -2.125x + x2 = 0 + -4.375 -2.125x + x2 = 0 + -4.375 Combine like terms: 0 + -4.375 = -4.375 -2.125x + x2 = -4.375 The x term is -2.125x. Take half its coefficient (-1.0625). Square it (1.12890625) and add it to both sides. Add '1.12890625' to each side of the equation. -2.125x + 1.12890625 + x2 = -4.375 + 1.12890625 Reorder the terms: 1.12890625 + -2.125x + x2 = -4.375 + 1.12890625 Combine like terms: -4.375 + 1.12890625 = -3.24609375 1.12890625 + -2.125x + x2 = -3.24609375 Factor a perfect square on the left side: (x + -1.0625)(x + -1.0625) = -3.24609375 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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