2x^3-14x^2+50x=0

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Solution for 2x^3-14x^2+50x=0 equation:


Simplifying
2x3 + -14x2 + 50x = 0

Reorder the terms:
50x + -14x2 + 2x3 = 0

Solving
50x + -14x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(25 + -7x + x2) = 0

Ignore the factor 2.

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 '(25 + -7x + x2)' equal to zero and attempt to solve: Simplifying 25 + -7x + x2 = 0 Solving 25 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -7x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -7x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -7x + x2 = 0 + -25 -7x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -7x + x2 = -25 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -25 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -25 + 12.25 Combine like terms: -25 + 12.25 = -12.75 12.25 + -7x + x2 = -12.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -12.75 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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