x^2(9x-35)=4x

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Solution for x^2(9x-35)=4x equation: 


Simplifying
x2(9x + -35) = 4x

Reorder the terms:
x2(-35 + 9x) = 4x
(-35 * x2 + 9x * x2) = 4x
(-35x2 + 9x3) = 4x

Solving
-35x2 + 9x3 = 4x

Solving for variable 'x'.

Reorder the terms:
-4x + -35x2 + 9x3 = 4x + -4x

Combine like terms: 4x + -4x = 0
-4x + -35x2 + 9x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + -35x + 9x2) = 0

Factor a trinomial.
x((-1 + -9x)(4 + -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 '(-1 + -9x)' equal to zero and attempt to solve:

Simplifying
-1 + -9x = 0

Solving
-1 + -9x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -9x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9x = 0 + 1
-9x = 0 + 1

Combine like terms: 0 + 1 = 1
-9x = 1

Divide each side by '-9'.
x = -0.1111111111

Simplifying
x = -0.1111111111

Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, -0.1111111111, 4}

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