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Simplifying 3x3 + -10x2 + 10x = 0 Reorder the terms: 10x + -10x2 + 3x3 = 0 Solving 10x + -10x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(10 + -10x + 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 '(10 + -10x + 3x2)' equal to zero and attempt to solve: Simplifying 10 + -10x + 3x2 = 0 Solving 10 + -10x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3.333333333 + -3.333333333x + x2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -3.333333333x + -3.333333333 + x2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -3.333333333x + x2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -3.333333333x + x2 = 0 + -3.333333333 -3.333333333x + x2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -3.333333333x + x2 = -3.333333333 The x term is -3.333333333x. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333x + 2.777777779 + x2 = -3.333333333 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333x + x2 = -3.333333333 + 2.777777779 Combine like terms: -3.333333333 + 2.777777779 = -0.555555554 2.777777779 + -3.333333333x + x2 = -0.555555554 Factor a perfect square on the left side: (x + -1.666666667)(x + -1.666666667) = -0.555555554 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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