(r+-1.5)(r+-1.5)=-6.75

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Solution for (r+-1.5)(r+-1.5)=-6.75 equation: 


Simplifying
(r + -1.5)(r + -1.5) = -6.75

Reorder the terms:
(-1.5 + r)(r + -1.5) = -6.75

Reorder the terms:
(-1.5 + r)(-1.5 + r) = -6.75

Multiply (-1.5 + r) * (-1.5 + r)
(-1.5(-1.5 + r) + r(-1.5 + r)) = -6.75
((-1.5 * -1.5 + r * -1.5) + r(-1.5 + r)) = -6.75
((2.25 + -1.5r) + r(-1.5 + r)) = -6.75
(2.25 + -1.5r + (-1.5 * r + r * r)) = -6.75
(2.25 + -1.5r + (-1.5r + r2)) = -6.75

Combine like terms: -1.5r + -1.5r = -3r
(2.25 + -3r + r2) = -6.75

Solving
2.25 + -3r + r2 = -6.75

Solving for variable 'r'.

Reorder the terms:
2.25 + 6.75 + -3r + r2 = -6.75 + 6.75

Combine like terms: 2.25 + 6.75 = 9
9 + -3r + r2 = -6.75 + 6.75

Combine like terms: -6.75 + 6.75 = 0.00
9 + -3r + r2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -3r + -9 + r2 = 0.00 + -9

Reorder the terms:
9 + -9 + -3r + r2 = 0.00 + -9

Combine like terms: 9 + -9 = 0
0 + -3r + r2 = 0.00 + -9
-3r + r2 = 0.00 + -9

Combine like terms: 0.00 + -9 = -9
-3r + r2 = -9

The r term is -3r.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3r + 2.25 + r2 = -9 + 2.25

Reorder the terms:
2.25 + -3r + r2 = -9 + 2.25

Combine like terms: -9 + 2.25 = -6.75
2.25 + -3r + r2 = -6.75

Factor a perfect square on the left side:
(r + -1.5)(r + -1.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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