x[x-3(6-3X)+2x]=6(2x*21)

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Solution for x[x-3(6-3X)+2x]=6(2x*21) equation: 


Simplifying
x[x + -3(6 + -3X) + 2x] = 6(2x * 21)
x[x + (6 * -3 + -3X * -3) + 2x] = 6(2x * 21)
x[x + (-18 + 9X) + 2x] = 6(2x * 21)

Reorder the terms:
x[-18 + 9X + x + 2x] = 6(2x * 21)

Combine like terms: x + 2x = 3x
x[-18 + 9X + 3x] = 6(2x * 21)
[-18 * x + 9X * x + 3x * x] = 6(2x * 21)
[-18x + 9xX + 3x2] = 6(2x * 21)

Reorder the terms for easier multiplication:
-18x + 9xX + 3x2 = 6(2 * 21x)

Multiply 2 * 21
-18x + 9xX + 3x2 = 6(42x)

Remove parenthesis around (42x)
-18x + 9xX + 3x2 = 6 * 42x

Multiply 6 * 42
-18x + 9xX + 3x2 = 252x

Solving
-18x + 9xX + 3x2 = 252x

Solving for variable 'x'.

Reorder the terms:
-18x + -252x + 9xX + 3x2 = 252x + -252x

Combine like terms: -18x + -252x = -270x
-270x + 9xX + 3x2 = 252x + -252x

Combine like terms: 252x + -252x = 0
-270x + 9xX + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-90 + 3X + x) = 0

Ignore the factor 3.

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 '(-90 + 3X + x)' equal to zero and attempt to solve:

Simplifying
-90 + 3X + x = 0

Solving
-90 + 3X + x = 0

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

Add '90' to each side of the equation.
-90 + 3X + 90 + x = 0 + 90

Reorder the terms:
-90 + 90 + 3X + x = 0 + 90

Combine like terms: -90 + 90 = 0
0 + 3X + x = 0 + 90
3X + x = 0 + 90

Combine like terms: 0 + 90 = 90
3X + x = 90

Add '-3X' to each side of the equation.
3X + -3X + x = 90 + -3X

Combine like terms: 3X + -3X = 0
0 + x = 90 + -3X
x = 90 + -3X

Simplifying
x = 90 + -3X
Solution
x = {0, 90 + -3X}

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