x^2(x-2)=35x

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Solution for x^2(x-2)=35x equation: 


Simplifying
x2(x + -2) = 35x

Reorder the terms:
x2(-2 + x) = 35x
(-2 * x2 + x * x2) = 35x
(-2x2 + x3) = 35x

Solving
-2x2 + x3 = 35x

Solving for variable 'x'.

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

Combine like terms: 35x + -35x = 0
-35x + -2x2 + x3 = 0

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

Factor a trinomial.
x((-5 + -1x)(7 + -1x)) = 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 '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0, -5, 7}

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