(2x^1+20)(20x^2y^3+5x)=40x^3y^3+40x^2y^3+10x^2+100x

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Solution for (2x^1+20)(20x^2y^3+5x)=40x^3y^3+40x^2y^3+10x^2+100x equation: 


Simplifying
(2x + 20)(20x2y3 + 5x) = 40x3y3 + 40x2y3 + 10x2 + 100x

Reorder the terms:
(20 + 2x)(20x2y3 + 5x) = 40x3y3 + 40x2y3 + 10x2 + 100x

Reorder the terms:
(20 + 2x)(5x + 20x2y3) = 40x3y3 + 40x2y3 + 10x2 + 100x

Multiply (20 + 2x) * (5x + 20x2y3)
(20(5x + 20x2y3) + 2x * (5x + 20x2y3)) = 40x3y3 + 40x2y3 + 10x2 + 100x
((5x * 20 + 20x2y3 * 20) + 2x * (5x + 20x2y3)) = 40x3y3 + 40x2y3 + 10x2 + 100x
((100x + 400x2y3) + 2x * (5x + 20x2y3)) = 40x3y3 + 40x2y3 + 10x2 + 100x
(100x + 400x2y3 + (5x * 2x + 20x2y3 * 2x)) = 40x3y3 + 40x2y3 + 10x2 + 100x
(100x + 400x2y3 + (10x2 + 40x3y3)) = 40x3y3 + 40x2y3 + 10x2 + 100x

Reorder the terms:
(100x + 10x2 + 400x2y3 + 40x3y3) = 40x3y3 + 40x2y3 + 10x2 + 100x
(100x + 10x2 + 400x2y3 + 40x3y3) = 40x3y3 + 40x2y3 + 10x2 + 100x

Reorder the terms:
100x + 10x2 + 400x2y3 + 40x3y3 = 100x + 10x2 + 40x2y3 + 40x3y3

Add '-100x' to each side of the equation.
100x + 10x2 + 400x2y3 + -100x + 40x3y3 = 100x + 10x2 + 40x2y3 + -100x + 40x3y3

Reorder the terms:
100x + -100x + 10x2 + 400x2y3 + 40x3y3 = 100x + 10x2 + 40x2y3 + -100x + 40x3y3

Combine like terms: 100x + -100x = 0
0 + 10x2 + 400x2y3 + 40x3y3 = 100x + 10x2 + 40x2y3 + -100x + 40x3y3
10x2 + 400x2y3 + 40x3y3 = 100x + 10x2 + 40x2y3 + -100x + 40x3y3

Reorder the terms:
10x2 + 400x2y3 + 40x3y3 = 100x + -100x + 10x2 + 40x2y3 + 40x3y3

Combine like terms: 100x + -100x = 0
10x2 + 400x2y3 + 40x3y3 = 0 + 10x2 + 40x2y3 + 40x3y3
10x2 + 400x2y3 + 40x3y3 = 10x2 + 40x2y3 + 40x3y3

Add '-10x2' to each side of the equation.
10x2 + 400x2y3 + -10x2 + 40x3y3 = 10x2 + 40x2y3 + -10x2 + 40x3y3

Reorder the terms:
10x2 + -10x2 + 400x2y3 + 40x3y3 = 10x2 + 40x2y3 + -10x2 + 40x3y3

Combine like terms: 10x2 + -10x2 = 0
0 + 400x2y3 + 40x3y3 = 10x2 + 40x2y3 + -10x2 + 40x3y3
400x2y3 + 40x3y3 = 10x2 + 40x2y3 + -10x2 + 40x3y3

Reorder the terms:
400x2y3 + 40x3y3 = 10x2 + -10x2 + 40x2y3 + 40x3y3

Combine like terms: 10x2 + -10x2 = 0
400x2y3 + 40x3y3 = 0 + 40x2y3 + 40x3y3
400x2y3 + 40x3y3 = 40x2y3 + 40x3y3

Add '-40x3y3' to each side of the equation.
400x2y3 + 40x3y3 + -40x3y3 = 40x2y3 + 40x3y3 + -40x3y3

Combine like terms: 40x3y3 + -40x3y3 = 0
400x2y3 + 0 = 40x2y3 + 40x3y3 + -40x3y3
400x2y3 = 40x2y3 + 40x3y3 + -40x3y3

Combine like terms: 40x3y3 + -40x3y3 = 0
400x2y3 = 40x2y3 + 0
400x2y3 = 40x2y3

Solving
400x2y3 = 40x2y3

Solving for variable 'x'.

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

Add '-40x2y3' to each side of the equation.
400x2y3 + -40x2y3 = 40x2y3 + -40x2y3

Combine like terms: 400x2y3 + -40x2y3 = 360x2y3
360x2y3 = 40x2y3 + -40x2y3

Combine like terms: 40x2y3 + -40x2y3 = 0
360x2y3 = 0

Divide each side by '360'.
x2y3 = 0.0

Simplifying
x2y3 = 0.0

The solution to this equation could not be determined.

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