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Simplifying 2x3 + -7x2 + 8x = 0 Reorder the terms: 8x + -7x2 + 2x3 = 0 Solving 8x + -7x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(8 + -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 '(8 + -7x + 2x2)' equal to zero and attempt to solve: Simplifying 8 + -7x + 2x2 = 0 Solving 8 + -7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + -3.5x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3.5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -3.5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3.5x + x2 = 0 + -4 -3.5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3.5x + x2 = -4 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 = -4 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -4 + 3.0625 Combine like terms: -4 + 3.0625 = -0.9375 3.0625 + -3.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -0.9375 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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