2(x-3)+y(4x+y)-7=10

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Solution for 2(x-3)+y(4x+y)-7=10 equation:


Simplifying
2(x + -3) + y(4x + y) + -7 = 10

Reorder the terms:
2(-3 + x) + y(4x + y) + -7 = 10
(-3 * 2 + x * 2) + y(4x + y) + -7 = 10
(-6 + 2x) + y(4x + y) + -7 = 10
-6 + 2x + (4x * y + y * y) + -7 = 10
-6 + 2x + (4xy + y2) + -7 = 10

Reorder the terms:
-6 + -7 + 2x + 4xy + y2 = 10

Combine like terms: -6 + -7 = -13
-13 + 2x + 4xy + y2 = 10

Solving
-13 + 2x + 4xy + y2 = 10

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 2x + 4xy + 13 + y2 = 10 + 13

Reorder the terms:
-13 + 13 + 2x + 4xy + y2 = 10 + 13

Combine like terms: -13 + 13 = 0
0 + 2x + 4xy + y2 = 10 + 13
2x + 4xy + y2 = 10 + 13

Combine like terms: 10 + 13 = 23
2x + 4xy + y2 = 23

Add '-1y2' to each side of the equation.
2x + 4xy + y2 + -1y2 = 23 + -1y2

Combine like terms: y2 + -1y2 = 0
2x + 4xy + 0 = 23 + -1y2
2x + 4xy = 23 + -1y2

Reorder the terms:
-23 + 2x + 4xy + y2 = 23 + -1y2 + -23 + y2

Reorder the terms:
-23 + 2x + 4xy + y2 = 23 + -23 + -1y2 + y2

Combine like terms: 23 + -23 = 0
-23 + 2x + 4xy + y2 = 0 + -1y2 + y2
-23 + 2x + 4xy + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-23 + 2x + 4xy + y2 = 0

The solution to this equation could not be determined.

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