(x+25)2+x-10+(5y-42)+50-100=0

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Solution for (x+25)2+x-10+(5y-42)+50-100=0 equation:


Simplifying
(x + 25) * 2 + x + -10 + (5y + -42) + 50 + -100 = 0

Reorder the terms:
(25 + x) * 2 + x + -10 + (5y + -42) + 50 + -100 = 0

Reorder the terms for easier multiplication:
2(25 + x) + x + -10 + (5y + -42) + 50 + -100 = 0
(25 * 2 + x * 2) + x + -10 + (5y + -42) + 50 + -100 = 0
(50 + 2x) + x + -10 + (5y + -42) + 50 + -100 = 0

Reorder the terms:
50 + 2x + x + -10 + (-42 + 5y) + 50 + -100 = 0

Remove parenthesis around (-42 + 5y)
50 + 2x + x + -10 + -42 + 5y + 50 + -100 = 0

Reorder the terms:
50 + -10 + -42 + 50 + -100 + 2x + x + 5y = 0

Combine like terms: 50 + -10 = 40
40 + -42 + 50 + -100 + 2x + x + 5y = 0

Combine like terms: 40 + -42 = -2
-2 + 50 + -100 + 2x + x + 5y = 0

Combine like terms: -2 + 50 = 48
48 + -100 + 2x + x + 5y = 0

Combine like terms: 48 + -100 = -52
-52 + 2x + x + 5y = 0

Combine like terms: 2x + x = 3x
-52 + 3x + 5y = 0

Solving
-52 + 3x + 5y = 0

Solving for variable 'x'.

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

Add '52' to each side of the equation.
-52 + 3x + 52 + 5y = 0 + 52

Reorder the terms:
-52 + 52 + 3x + 5y = 0 + 52

Combine like terms: -52 + 52 = 0
0 + 3x + 5y = 0 + 52
3x + 5y = 0 + 52

Combine like terms: 0 + 52 = 52
3x + 5y = 52

Add '-5y' to each side of the equation.
3x + 5y + -5y = 52 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 52 + -5y
3x = 52 + -5y

Divide each side by '3'.
x = 17.33333333 + -1.666666667y

Simplifying
x = 17.33333333 + -1.666666667y

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