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Simplifying 15x3 + -2x2 + 4x = 0 Reorder the terms: 4x + -2x2 + 15x3 = 0 Solving 4x + -2x2 + 15x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + -2x + 15x2) = 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 '(4 + -2x + 15x2)' equal to zero and attempt to solve: Simplifying 4 + -2x + 15x2 = 0 Solving 4 + -2x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.2666666667 + -0.1333333333x + x2 = 0 Move the constant term to the right: Add '-0.2666666667' to each side of the equation. 0.2666666667 + -0.1333333333x + -0.2666666667 + x2 = 0 + -0.2666666667 Reorder the terms: 0.2666666667 + -0.2666666667 + -0.1333333333x + x2 = 0 + -0.2666666667 Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000 0.0000000000 + -0.1333333333x + x2 = 0 + -0.2666666667 -0.1333333333x + x2 = 0 + -0.2666666667 Combine like terms: 0 + -0.2666666667 = -0.2666666667 -0.1333333333x + x2 = -0.2666666667 The x term is -0.1333333333x. Take half its coefficient (-0.06666666665). Square it (0.004444444442) and add it to both sides. Add '0.004444444442' to each side of the equation. -0.1333333333x + 0.004444444442 + x2 = -0.2666666667 + 0.004444444442 Reorder the terms: 0.004444444442 + -0.1333333333x + x2 = -0.2666666667 + 0.004444444442 Combine like terms: -0.2666666667 + 0.004444444442 = -0.262222222258 0.004444444442 + -0.1333333333x + x2 = -0.262222222258 Factor a perfect square on the left side: (x + -0.06666666665)(x + -0.06666666665) = -0.262222222258 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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