y^2-3y=-4

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Solution for y^2-3y=-4 equation:


Simplifying
y2 + -3y = -4

Reorder the terms:
-3y + y2 = -4

Solving
-3y + y2 = -4

Solving for variable 'y'.

Reorder the terms:
4 + -3y + y2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -3y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -3y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + -3y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3y + y2 = 0 + -4
-3y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3y + y2 = -4

The y term is -3y.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3y + 2.25 + y2 = -4 + 2.25

Reorder the terms:
2.25 + -3y + y2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + -3y + y2 = -1.75

Factor a perfect square on the left side:
(y + -1.5)(y + -1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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