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Simplifying 3x3 + -14x2 + 40x = 0 Reorder the terms: 40x + -14x2 + 3x3 = 0 Solving 40x + -14x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(40 + -14x + 3x2) = 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 '(40 + -14x + 3x2)' equal to zero and attempt to solve: Simplifying 40 + -14x + 3x2 = 0 Solving 40 + -14x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 13.33333333 + -4.666666667x + x2 = 0 Move the constant term to the right: Add '-13.33333333' to each side of the equation. 13.33333333 + -4.666666667x + -13.33333333 + x2 = 0 + -13.33333333 Reorder the terms: 13.33333333 + -13.33333333 + -4.666666667x + x2 = 0 + -13.33333333 Combine like terms: 13.33333333 + -13.33333333 = 0.00000000 0.00000000 + -4.666666667x + x2 = 0 + -13.33333333 -4.666666667x + x2 = 0 + -13.33333333 Combine like terms: 0 + -13.33333333 = -13.33333333 -4.666666667x + x2 = -13.33333333 The x term is -4.666666667x. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667x + 5.444444448 + x2 = -13.33333333 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667x + x2 = -13.33333333 + 5.444444448 Combine like terms: -13.33333333 + 5.444444448 = -7.888888882 5.444444448 + -4.666666667x + x2 = -7.888888882 Factor a perfect square on the left side: (x + -2.333333334)(x + -2.333333334) = -7.888888882 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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