15r^2-44r+120=-30

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Solution for 15r^2-44r+120=-30 equation: 


Simplifying
15r2 + -44r + 120 = -30

Reorder the terms:
120 + -44r + 15r2 = -30

Solving
120 + -44r + 15r2 = -30

Solving for variable 'r'.

Reorder the terms:
120 + 30 + -44r + 15r2 = -30 + 30

Combine like terms: 120 + 30 = 150
150 + -44r + 15r2 = -30 + 30

Combine like terms: -30 + 30 = 0
150 + -44r + 15r2 = 0

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

Divide each side by '15'.
10 + -2.933333333r + r2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -2.933333333r + -10 + r2 = 0 + -10

Reorder the terms:
10 + -10 + -2.933333333r + r2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2.933333333r + r2 = 0 + -10
-2.933333333r + r2 = 0 + -10

Combine like terms: 0 + -10 = -10
-2.933333333r + r2 = -10

The r term is -2.933333333r.  Take half its coefficient (-1.466666667).
Square it (2.151111112) and add it to both sides.

Add '2.151111112' to each side of the equation.
-2.933333333r + 2.151111112 + r2 = -10 + 2.151111112

Reorder the terms:
2.151111112 + -2.933333333r + r2 = -10 + 2.151111112

Combine like terms: -10 + 2.151111112 = -7.848888888
2.151111112 + -2.933333333r + r2 = -7.848888888

Factor a perfect square on the left side:
(r + -1.466666667)(r + -1.466666667) = -7.848888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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