(X+20)*(x+30)=2100+4x

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Solution for (X+20)*(x+30)=2100+4x equation:


Simplifying
(X + 20)(x + 30) = 2100 + 4x

Reorder the terms:
(20 + X)(x + 30) = 2100 + 4x

Reorder the terms:
(20 + X)(30 + x) = 2100 + 4x

Multiply (20 + X) * (30 + x)
(20(30 + x) + X(30 + x)) = 2100 + 4x
((30 * 20 + x * 20) + X(30 + x)) = 2100 + 4x
((600 + 20x) + X(30 + x)) = 2100 + 4x
(600 + 20x + (30 * X + x * X)) = 2100 + 4x
(600 + 20x + (30X + xX)) = 2100 + 4x

Reorder the terms:
(600 + 30X + 20x + xX) = 2100 + 4x
(600 + 30X + 20x + xX) = 2100 + 4x

Solving
600 + 30X + 20x + xX = 2100 + 4x

Solving for variable 'X'.

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

Add '-600' to each side of the equation.
600 + 30X + 20x + -600 + xX = 2100 + -600 + 4x

Reorder the terms:
600 + -600 + 30X + 20x + xX = 2100 + -600 + 4x

Combine like terms: 600 + -600 = 0
0 + 30X + 20x + xX = 2100 + -600 + 4x
30X + 20x + xX = 2100 + -600 + 4x

Combine like terms: 2100 + -600 = 1500
30X + 20x + xX = 1500 + 4x

Add '-20x' to each side of the equation.
30X + 20x + -20x + xX = 1500 + 4x + -20x

Combine like terms: 20x + -20x = 0
30X + 0 + xX = 1500 + 4x + -20x
30X + xX = 1500 + 4x + -20x

Combine like terms: 4x + -20x = -16x
30X + xX = 1500 + -16x

Reorder the terms:
-1500 + 30X + 16x + xX = 1500 + -16x + -1500 + 16x

Reorder the terms:
-1500 + 30X + 16x + xX = 1500 + -1500 + -16x + 16x

Combine like terms: 1500 + -1500 = 0
-1500 + 30X + 16x + xX = 0 + -16x + 16x
-1500 + 30X + 16x + xX = -16x + 16x

Combine like terms: -16x + 16x = 0
-1500 + 30X + 16x + xX = 0

The solution to this equation could not be determined.

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