(5y^2+3y-2)+(2y^2-4y+7)=

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Solution for (5y^2+3y-2)+(2y^2-4y+7)= equation:


Simplifying
(5y2 + 3y + -2) + (2y2 + -4y + 7) = 0

Reorder the terms:
(-2 + 3y + 5y2) + (2y2 + -4y + 7) = 0

Remove parenthesis around (-2 + 3y + 5y2)
-2 + 3y + 5y2 + (2y2 + -4y + 7) = 0

Reorder the terms:
-2 + 3y + 5y2 + (7 + -4y + 2y2) = 0

Remove parenthesis around (7 + -4y + 2y2)
-2 + 3y + 5y2 + 7 + -4y + 2y2 = 0

Reorder the terms:
-2 + 7 + 3y + -4y + 5y2 + 2y2 = 0

Combine like terms: -2 + 7 = 5
5 + 3y + -4y + 5y2 + 2y2 = 0

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

Combine like terms: 5y2 + 2y2 = 7y2
5 + -1y + 7y2 = 0

Solving
5 + -1y + 7y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
7 the coefficient of the squared term: 

Divide each side by '7'.
0.7142857143 + -0.1428571429y + y2 = 0

Move the constant term to the right:

Add '-0.7142857143' to each side of the equation.
0.7142857143 + -0.1428571429y + -0.7142857143 + y2 = 0 + -0.7142857143

Reorder the terms:
0.7142857143 + -0.7142857143 + -0.1428571429y + y2 = 0 + -0.7142857143

Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000
0.0000000000 + -0.1428571429y + y2 = 0 + -0.7142857143
-0.1428571429y + y2 = 0 + -0.7142857143

Combine like terms: 0 + -0.7142857143 = -0.7142857143
-0.1428571429y + y2 = -0.7142857143

The y term is -0.1428571429y.  Take half its coefficient (-0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
-0.1428571429y + 0.005102040819 + y2 = -0.7142857143 + 0.005102040819

Reorder the terms:
0.005102040819 + -0.1428571429y + y2 = -0.7142857143 + 0.005102040819

Combine like terms: -0.7142857143 + 0.005102040819 = -0.709183673481
0.005102040819 + -0.1428571429y + y2 = -0.709183673481

Factor a perfect square on the left side:
(y + -0.07142857145)(y + -0.07142857145) = -0.709183673481

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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