2r^2+11r+15=-2r^2

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Solution for 2r^2+11r+15=-2r^2 equation:


Simplifying
2r2 + 11r + 15 = -2r2

Reorder the terms:
15 + 11r + 2r2 = -2r2

Solving
15 + 11r + 2r2 = -2r2

Solving for variable 'r'.

Combine like terms: 2r2 + 2r2 = 4r2
15 + 11r + 4r2 = -2r2 + 2r2

Combine like terms: -2r2 + 2r2 = 0
15 + 11r + 4r2 = 0

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

Divide each side by '4'.
3.75 + 2.75r + r2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + 2.75r + -3.75 + r2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + 2.75r + r2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 2.75r + r2 = 0 + -3.75
2.75r + r2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
2.75r + r2 = -3.75

The r term is 2.75r.  Take half its coefficient (1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
2.75r + 1.890625 + r2 = -3.75 + 1.890625

Reorder the terms:
1.890625 + 2.75r + r2 = -3.75 + 1.890625

Combine like terms: -3.75 + 1.890625 = -1.859375
1.890625 + 2.75r + r2 = -1.859375

Factor a perfect square on the left side:
(r + 1.375)(r + 1.375) = -1.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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