6x(6x)+5(3x(3x)-x)-3x=

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Solution for 6x(6x)+5(3x(3x)-x)-3x= equation: 


Simplifying
6x(6x) + 5(3x(3x) + -1x) + -3x = 0

Remove parenthesis around (6x)
6x * 6x + 5(3x(3x) + -1x) + -3x = 0

Reorder the terms for easier multiplication:
6 * 6x * x + 5(3x(3x) + -1x) + -3x = 0

Multiply 6 * 6
36x * x + 5(3x(3x) + -1x) + -3x = 0

Multiply x * x
36x2 + 5(3x(3x) + -1x) + -3x = 0

Remove parenthesis around (3x)
36x2 + 5(3x * 3x + -1x) + -3x = 0

Reorder the terms for easier multiplication:
36x2 + 5(3 * 3x * x + -1x) + -3x = 0

Multiply 3 * 3
36x2 + 5(9x * x + -1x) + -3x = 0

Multiply x * x
36x2 + 5(9x2 + -1x) + -3x = 0

Reorder the terms:
36x2 + 5(-1x + 9x2) + -3x = 0
36x2 + (-1x * 5 + 9x2 * 5) + -3x = 0
36x2 + (-5x + 45x2) + -3x = 0

Reorder the terms:
-5x + -3x + 36x2 + 45x2 = 0

Combine like terms: -5x + -3x = -8x
-8x + 36x2 + 45x2 = 0

Combine like terms: 36x2 + 45x2 = 81x2
-8x + 81x2 = 0

Solving
-8x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 81x) = 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 '(-8 + 81x)' equal to zero and attempt to solve:

Simplifying
-8 + 81x = 0

Solving
-8 + 81x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 81x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 81x = 0 + 8
81x = 0 + 8

Combine like terms: 0 + 8 = 8
81x = 8

Divide each side by '81'.
x = 0.0987654321

Simplifying
x = 0.0987654321
Solution
x = {0, 0.0987654321}

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