(X-2)(2x)(20)-2(5x)(20)=3(5x)(2x)

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Solution for (X-2)(2x)(20)-2(5x)(20)=3(5x)(2x) equation: 


Simplifying
(X + -2)(2x)(20) + -2(5x)(20) = 3(5x)(2x)

Reorder the terms:
(-2 + X)(2x)(20) + -2(5x)(20) = 3(5x)(2x)

Remove parenthesis around (2x)
(-2 + X) * 2x(20) + -2(5x)(20) = 3(5x)(2x)

Reorder the terms for easier multiplication:
2 * 20x(-2 + X) + -2(5x)(20) = 3(5x)(2x)

Multiply 2 * 20
40x(-2 + X) + -2(5x)(20) = 3(5x)(2x)
(-2 * 40x + X * 40x) + -2(5x)(20) = 3(5x)(2x)
(-80x + 40xX) + -2(5x)(20) = 3(5x)(2x)

Remove parenthesis around (5x)
-80x + 40xX + -2 * 5x(20) = 3(5x)(2x)

Reorder the terms for easier multiplication:
-80x + 40xX + -2 * 5 * 20x = 3(5x)(2x)

Multiply -2 * 5
-80x + 40xX + -10 * 20x = 3(5x)(2x)

Multiply -10 * 20
-80x + 40xX + -200x = 3(5x)(2x)

Reorder the terms:
-80x + -200x + 40xX = 3(5x)(2x)

Combine like terms: -80x + -200x = -280x
-280x + 40xX = 3(5x)(2x)

Remove parenthesis around (5x)
-280x + 40xX = 3 * 5x(2x)

Remove parenthesis around (2x)
-280x + 40xX = 3 * 5x * 2x

Reorder the terms for easier multiplication:
-280x + 40xX = 3 * 5 * 2x * x

Multiply 3 * 5
-280x + 40xX = 15 * 2x * x

Multiply 15 * 2
-280x + 40xX = 30x * x

Multiply x * x
-280x + 40xX = 30x2

Solving
-280x + 40xX = 30x2

Solving for variable 'x'.

Combine like terms: 30x2 + -30x2 = 0
-280x + 40xX + -30x2 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(-28 + 4X + -3x) = 0

Ignore the factor 10.

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 '(-28 + 4X + -3x)' equal to zero and attempt to solve:

Simplifying
-28 + 4X + -3x = 0

Solving
-28 + 4X + -3x = 0

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

Add '28' to each side of the equation.
-28 + 4X + 28 + -3x = 0 + 28

Reorder the terms:
-28 + 28 + 4X + -3x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 4X + -3x = 0 + 28
4X + -3x = 0 + 28

Combine like terms: 0 + 28 = 28
4X + -3x = 28

Add '-4X' to each side of the equation.
4X + -4X + -3x = 28 + -4X

Combine like terms: 4X + -4X = 0
0 + -3x = 28 + -4X
-3x = 28 + -4X

Divide each side by '-3'.
x = -9.333333333 + 1.333333333X

Simplifying
x = -9.333333333 + 1.333333333X
Solution
x = {0, -9.333333333 + 1.333333333X}

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