(y-1)(y+1)=3x

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Solution for (y-1)(y+1)=3x equation: 


Simplifying
(y + -1)(y + 1) = 3x

Reorder the terms:
(-1 + y)(y + 1) = 3x

Reorder the terms:
(-1 + y)(1 + y) = 3x

Multiply (-1 + y) * (1 + y)
(-1(1 + y) + y(1 + y)) = 3x
((1 * -1 + y * -1) + y(1 + y)) = 3x
((-1 + -1y) + y(1 + y)) = 3x
(-1 + -1y + (1 * y + y * y)) = 3x
(-1 + -1y + (1y + y2)) = 3x

Combine like terms: -1y + 1y = 0
(-1 + 0 + y2) = 3x
(-1 + y2) = 3x

Solving
-1 + y2 = 3x

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + y2 = 1 + 3x

Combine like terms: -1 + 1 = 0
0 + y2 = 1 + 3x
y2 = 1 + 3x

Simplifying
y2 = 1 + 3x

Reorder the terms:
-1 + -3x + y2 = 1 + 3x + -1 + -3x

Reorder the terms:
-1 + -3x + y2 = 1 + -1 + 3x + -3x

Combine like terms: 1 + -1 = 0
-1 + -3x + y2 = 0 + 3x + -3x
-1 + -3x + y2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -3x + y2 = 0

The solution to this equation could not be determined.

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