2x^3-13x^2+35x=0

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Solution for 2x^3-13x^2+35x=0 equation: 


Simplifying
2x3 + -13x2 + 35x = 0

Reorder the terms:
35x + -13x2 + 2x3 = 0

Solving
35x + -13x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + -13x + 2x2) = 0


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 '(35 + -13x + 2x2)' equal to zero and attempt to solve:

Simplifying
35 + -13x + 2x2 = 0

Solving
35 + -13x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
17.5 + -6.5x + x2 = 0

Move the constant term to the right:

Add '-17.5' to each side of the equation.
17.5 + -6.5x + -17.5 + x2 = 0 + -17.5

Reorder the terms:
17.5 + -17.5 + -6.5x + x2 = 0 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -6.5x + x2 = 0 + -17.5
-6.5x + x2 = 0 + -17.5

Combine like terms: 0 + -17.5 = -17.5
-6.5x + x2 = -17.5

The x term is -6.5x.  Take half its coefficient (-3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
-6.5x + 10.5625 + x2 = -17.5 + 10.5625

Reorder the terms:
10.5625 + -6.5x + x2 = -17.5 + 10.5625

Combine like terms: -17.5 + 10.5625 = -6.9375
10.5625 + -6.5x + x2 = -6.9375

Factor a perfect square on the left side:
(x + -3.25)(x + -3.25) = -6.9375

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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