y^2-6y=6y(y-1)-5y^2+5

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Solution for y^2-6y=6y(y-1)-5y^2+5 equation:


Simplifying
y2 + -6y = 6y(y + -1) + -5y2 + 5

Reorder the terms:
-6y + y2 = 6y(y + -1) + -5y2 + 5

Reorder the terms:
-6y + y2 = 6y(-1 + y) + -5y2 + 5
-6y + y2 = (-1 * 6y + y * 6y) + -5y2 + 5
-6y + y2 = (-6y + 6y2) + -5y2 + 5

Reorder the terms:
-6y + y2 = 5 + -6y + 6y2 + -5y2

Combine like terms: 6y2 + -5y2 = 1y2
-6y + y2 = 5 + -6y + 1y2

Add '6y' to each side of the equation.
-6y + 6y + y2 = 5 + -6y + 6y + 1y2

Combine like terms: -6y + 6y = 0
0 + y2 = 5 + -6y + 6y + 1y2
y2 = 5 + -6y + 6y + 1y2

Combine like terms: -6y + 6y = 0
y2 = 5 + 0 + 1y2
y2 = 5 + 1y2

Solving
y2 = 5 + 1y2

Solving for variable 'y'.

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

Add '-1y2' to each side of the equation.
y2 + -1y2 = 5 + 1y2 + -1y2

Combine like terms: y2 + -1y2 = 0
0 = 5 + 1y2 + -1y2

Combine like terms: 1y2 + -1y2 = 0
0 = 5 + 0
0 = 5

Simplifying
0 = 5

Combine like terms: 0 + -5 = -5
-5 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 = 0

The solution to this equation could not be determined.

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