50r^2-30r+18=0

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Solution for 50r^2-30r+18=0 equation: 


Simplifying
50r2 + -30r + 18 = 0

Reorder the terms:
18 + -30r + 50r2 = 0

Solving
18 + -30r + 50r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -15r + 25r2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + -15r + 25r2)' equal to zero and attempt to solve:

Simplifying
9 + -15r + 25r2 = 0

Solving
9 + -15r + 25r2 = 0

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

Divide each side by '25'.
0.36 + -0.6r + r2 = 0

Move the constant term to the right:

Add '-0.36' to each side of the equation.
0.36 + -0.6r + -0.36 + r2 = 0 + -0.36

Reorder the terms:
0.36 + -0.36 + -0.6r + r2 = 0 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + -0.6r + r2 = 0 + -0.36
-0.6r + r2 = 0 + -0.36

Combine like terms: 0 + -0.36 = -0.36
-0.6r + r2 = -0.36

The r term is -0.6r.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6r + 0.09 + r2 = -0.36 + 0.09

Reorder the terms:
0.09 + -0.6r + r2 = -0.36 + 0.09

Combine like terms: -0.36 + 0.09 = -0.27
0.09 + -0.6r + r2 = -0.27

Factor a perfect square on the left side:
(r + -0.3)(r + -0.3) = -0.27

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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