(2X+Y^2)-(X+Y)=45-15

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Solution for (2X+Y^2)-(X+Y)=45-15 equation:


Simplifying
(2X + Y2) + -1(X + Y) = 45 + -15

Remove parenthesis around (2X + Y2)
2X + Y2 + -1(X + Y) = 45 + -15
2X + Y2 + (X * -1 + Y * -1) = 45 + -15
2X + Y2 + (-1X + -1Y) = 45 + -15

Reorder the terms:
2X + -1X + -1Y + Y2 = 45 + -15

Combine like terms: 2X + -1X = 1X
1X + -1Y + Y2 = 45 + -15

Combine like terms: 45 + -15 = 30
1X + -1Y + Y2 = 30

Solving
1X + -1Y + Y2 = 30

Solving for variable 'X'.

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

Add 'Y' to each side of the equation.
1X + -1Y + Y + Y2 = 30 + Y

Combine like terms: -1Y + Y = 0
1X + 0 + Y2 = 30 + Y
1X + Y2 = 30 + Y

Add '-1Y2' to each side of the equation.
1X + Y2 + -1Y2 = 30 + Y + -1Y2

Combine like terms: Y2 + -1Y2 = 0
1X + 0 = 30 + Y + -1Y2
1X = 30 + Y + -1Y2

Divide each side by '1'.
X = 30 + Y + -1Y2

Simplifying
X = 30 + Y + -1Y2

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