y^2-4=5(y^2-3x)

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Solution for y^2-4=5(y^2-3x) equation:


Simplifying
y2 + -4 = 5(y2 + -3x)

Reorder the terms:
-4 + y2 = 5(y2 + -3x)

Reorder the terms:
-4 + y2 = 5(-3x + y2)
-4 + y2 = (-3x * 5 + y2 * 5)
-4 + y2 = (-15x + 5y2)

Solving
-4 + y2 = -15x + 5y2

Solving for variable 'y'.

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

Add '-5y2' to each side of the equation.
-4 + y2 + -5y2 = -15x + 5y2 + -5y2

Combine like terms: y2 + -5y2 = -4y2
-4 + -4y2 = -15x + 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
-4 + -4y2 = -15x + 0
-4 + -4y2 = -15x

Add '4' to each side of the equation.
-4 + 4 + -4y2 = 4 + -15x

Combine like terms: -4 + 4 = 0
0 + -4y2 = 4 + -15x
-4y2 = 4 + -15x

Divide each side by '-4'.
y2 = -1 + 3.75x

Simplifying
y2 = -1 + 3.75x

Reorder the terms:
1 + -3.75x + y2 = -1 + 3.75x + 1 + -3.75x

Reorder the terms:
1 + -3.75x + y2 = -1 + 1 + 3.75x + -3.75x

Combine like terms: -1 + 1 = 0
1 + -3.75x + y2 = 0 + 3.75x + -3.75x
1 + -3.75x + y2 = 3.75x + -3.75x

Combine like terms: 3.75x + -3.75x = 0.00
1 + -3.75x + y2 = 0.00

The solution to this equation could not be determined.

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