y^2-5=3(x-1)

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Solution for y^2-5=3(x-1) equation:


Simplifying
y2 + -5 = 3(x + -1)

Reorder the terms:
-5 + y2 = 3(x + -1)

Reorder the terms:
-5 + y2 = 3(-1 + x)
-5 + y2 = (-1 * 3 + x * 3)
-5 + y2 = (-3 + 3x)

Solving
-5 + y2 = -3 + 3x

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y2 = -3 + 5 + 3x

Combine like terms: -5 + 5 = 0
0 + y2 = -3 + 5 + 3x
y2 = -3 + 5 + 3x

Combine like terms: -3 + 5 = 2
y2 = 2 + 3x

Simplifying
y2 = 2 + 3x

Reorder the terms:
-2 + -3x + y2 = 2 + 3x + -2 + -3x

Reorder the terms:
-2 + -3x + y2 = 2 + -2 + 3x + -3x

Combine like terms: 2 + -2 = 0
-2 + -3x + y2 = 0 + 3x + -3x
-2 + -3x + y2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -3x + y2 = 0

The solution to this equation could not be determined.

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