96x^3-48x^2+60x=

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Solution for 96x^3-48x^2+60x= equation:


Simplifying
96x3 + -48x2 + 60x = 0

Reorder the terms:
60x + -48x2 + 96x3 = 0

Solving
60x + -48x2 + 96x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(5 + -4x + 8x2) = 0

Ignore the factor 12.

Subproblem 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 = 0

Subproblem 2

Set the factor '(5 + -4x + 8x2)' equal to zero and attempt to solve: Simplifying 5 + -4x + 8x2 = 0 Solving 5 + -4x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.5x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.5x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.5x + x2 = 0 + -0.625 -0.5x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.5x + x2 = -0.625 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -0.625 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.625 + 0.0625 Combine like terms: -0.625 + 0.0625 = -0.5625 0.0625 + -0.5x + x2 = -0.5625 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.5625 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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