(6y^2-4y+3)+(-5y^2+2y+1)=

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Solution for (6y^2-4y+3)+(-5y^2+2y+1)= equation:


Simplifying
(6y2 + -4y + 3) + (-5y2 + 2y + 1) = 0

Reorder the terms:
(3 + -4y + 6y2) + (-5y2 + 2y + 1) = 0

Remove parenthesis around (3 + -4y + 6y2)
3 + -4y + 6y2 + (-5y2 + 2y + 1) = 0

Reorder the terms:
3 + -4y + 6y2 + (1 + 2y + -5y2) = 0

Remove parenthesis around (1 + 2y + -5y2)
3 + -4y + 6y2 + 1 + 2y + -5y2 = 0

Reorder the terms:
3 + 1 + -4y + 2y + 6y2 + -5y2 = 0

Combine like terms: 3 + 1 = 4
4 + -4y + 2y + 6y2 + -5y2 = 0

Combine like terms: -4y + 2y = -2y
4 + -2y + 6y2 + -5y2 = 0

Combine like terms: 6y2 + -5y2 = 1y2
4 + -2y + 1y2 = 0

Solving
4 + -2y + 1y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + -2y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2y + y2 = 0 + -4
-2y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2y + y2 = -4

The y term is -2y.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2y + 1 + y2 = -4 + 1

Reorder the terms:
1 + -2y + y2 = -4 + 1

Combine like terms: -4 + 1 = -3
1 + -2y + y2 = -3

Factor a perfect square on the left side:
(y + -1)(y + -1) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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