-4b^2+6b-15=0

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Solution for -4b^2+6b-15=0 equation:


Simplifying
-4b2 + 6b + -15 = 0

Reorder the terms:
-15 + 6b + -4b2 = 0

Solving
-15 + 6b + -4b2 = 0

Solving for variable 'b'.

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

Divide each side by '-4'.
3.75 + -1.5b + b2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -1.5b + -3.75 + b2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -1.5b + b2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -1.5b + b2 = 0 + -3.75
-1.5b + b2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-1.5b + b2 = -3.75

The b term is -1.5b.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5b + 0.5625 + b2 = -3.75 + 0.5625

Reorder the terms:
0.5625 + -1.5b + b2 = -3.75 + 0.5625

Combine like terms: -3.75 + 0.5625 = -3.1875
0.5625 + -1.5b + b2 = -3.1875

Factor a perfect square on the left side:
(b + -0.75)(b + -0.75) = -3.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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