11x(x-5)+5x(x-4)=-187

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Solution for 11x(x-5)+5x(x-4)=-187 equation: 


Simplifying
11x(x + -5) + 5x(x + -4) = -187

Reorder the terms:
11x(-5 + x) + 5x(x + -4) = -187
(-5 * 11x + x * 11x) + 5x(x + -4) = -187
(-55x + 11x2) + 5x(x + -4) = -187

Reorder the terms:
-55x + 11x2 + 5x(-4 + x) = -187
-55x + 11x2 + (-4 * 5x + x * 5x) = -187
-55x + 11x2 + (-20x + 5x2) = -187

Reorder the terms:
-55x + -20x + 11x2 + 5x2 = -187

Combine like terms: -55x + -20x = -75x
-75x + 11x2 + 5x2 = -187

Combine like terms: 11x2 + 5x2 = 16x2
-75x + 16x2 = -187

Solving
-75x + 16x2 = -187

Solving for variable 'x'.

Reorder the terms:
187 + -75x + 16x2 = -187 + 187

Combine like terms: -187 + 187 = 0
187 + -75x + 16x2 = 0

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

Divide each side by '16'.
11.6875 + -4.6875x + x2 = 0

Move the constant term to the right:

Add '-11.6875' to each side of the equation.
11.6875 + -4.6875x + -11.6875 + x2 = 0 + -11.6875

Reorder the terms:
11.6875 + -11.6875 + -4.6875x + x2 = 0 + -11.6875

Combine like terms: 11.6875 + -11.6875 = 0.0000
0.0000 + -4.6875x + x2 = 0 + -11.6875
-4.6875x + x2 = 0 + -11.6875

Combine like terms: 0 + -11.6875 = -11.6875
-4.6875x + x2 = -11.6875

The x term is -4.6875x.  Take half its coefficient (-2.34375).
Square it (5.493164063) and add it to both sides.

Add '5.493164063' to each side of the equation.
-4.6875x + 5.493164063 + x2 = -11.6875 + 5.493164063

Reorder the terms:
5.493164063 + -4.6875x + x2 = -11.6875 + 5.493164063

Combine like terms: -11.6875 + 5.493164063 = -6.194335937
5.493164063 + -4.6875x + x2 = -6.194335937

Factor a perfect square on the left side:
(x + -2.34375)(x + -2.34375) = -6.194335937

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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