6x*6x+5(6x*6x-x)-4x=

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Solution for 6x*6x+5(6x*6x-x)-4x= equation: 


Simplifying
6x * 6x + 5(6x * 6x + -1x) + -4x = 0

Reorder the terms for easier multiplication:
6 * 6x * x + 5(6x * 6x + -1x) + -4x = 0

Multiply 6 * 6
36x * x + 5(6x * 6x + -1x) + -4x = 0

Multiply x * x
36x2 + 5(6x * 6x + -1x) + -4x = 0

Reorder the terms for easier multiplication:
36x2 + 5(6 * 6x * x + -1x) + -4x = 0

Multiply 6 * 6
36x2 + 5(36x * x + -1x) + -4x = 0

Multiply x * x
36x2 + 5(36x2 + -1x) + -4x = 0

Reorder the terms:
36x2 + 5(-1x + 36x2) + -4x = 0
36x2 + (-1x * 5 + 36x2 * 5) + -4x = 0
36x2 + (-5x + 180x2) + -4x = 0

Reorder the terms:
-5x + -4x + 36x2 + 180x2 = 0

Combine like terms: -5x + -4x = -9x
-9x + 36x2 + 180x2 = 0

Combine like terms: 36x2 + 180x2 = 216x2
-9x + 216x2 = 0

Solving
-9x + 216x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-1 + 24x) = 0

Ignore the factor 9.

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 + 24x)' equal to zero and attempt to solve:

Simplifying
-1 + 24x = 0

Solving
-1 + 24x = 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 + 24x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 24x = 0 + 1
24x = 0 + 1

Combine like terms: 0 + 1 = 1
24x = 1

Divide each side by '24'.
x = 0.04166666667

Simplifying
x = 0.04166666667
Solution
x = {0, 0.04166666667}

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