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Simplifying 20x3 + -3x2 + 2x = 0 Reorder the terms: 2x + -3x2 + 20x3 = 0 Solving 2x + -3x2 + 20x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + -3x + 20x2) = 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 '(2 + -3x + 20x2)' equal to zero and attempt to solve: Simplifying 2 + -3x + 20x2 = 0 Solving 2 + -3x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.1 + -0.15x + x2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.15x + -0.1 + x2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.15x + x2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.15x + x2 = 0 + -0.1 -0.15x + x2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -0.15x + x2 = -0.1 The x term is -0.15x. Take half its coefficient (-0.075). Square it (0.005625) and add it to both sides. Add '0.005625' to each side of the equation. -0.15x + 0.005625 + x2 = -0.1 + 0.005625 Reorder the terms: 0.005625 + -0.15x + x2 = -0.1 + 0.005625 Combine like terms: -0.1 + 0.005625 = -0.094375 0.005625 + -0.15x + x2 = -0.094375 Factor a perfect square on the left side: (x + -0.075)(x + -0.075) = -0.094375 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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