9x^2+21x-50-12x^2-8x+12=

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Solution for 9x^2+21x-50-12x^2-8x+12= equation: 


Simplifying
9x2 + 21x + -50 + -12x2 + -8x + 12 = 0

Reorder the terms:
-50 + 12 + 21x + -8x + 9x2 + -12x2 = 0

Combine like terms: -50 + 12 = -38
-38 + 21x + -8x + 9x2 + -12x2 = 0

Combine like terms: 21x + -8x = 13x
-38 + 13x + 9x2 + -12x2 = 0

Combine like terms: 9x2 + -12x2 = -3x2
-38 + 13x + -3x2 = 0

Solving
-38 + 13x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
12.66666667 + -4.333333333x + x2 = 0

Move the constant term to the right:

Add '-12.66666667' to each side of the equation.
12.66666667 + -4.333333333x + -12.66666667 + x2 = 0 + -12.66666667

Reorder the terms:
12.66666667 + -12.66666667 + -4.333333333x + x2 = 0 + -12.66666667

Combine like terms: 12.66666667 + -12.66666667 = 0.00000000
0.00000000 + -4.333333333x + x2 = 0 + -12.66666667
-4.333333333x + x2 = 0 + -12.66666667

Combine like terms: 0 + -12.66666667 = -12.66666667
-4.333333333x + x2 = -12.66666667

The x term is -4.333333333x.  Take half its coefficient (-2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
-4.333333333x + 4.694444446 + x2 = -12.66666667 + 4.694444446

Reorder the terms:
4.694444446 + -4.333333333x + x2 = -12.66666667 + 4.694444446

Combine like terms: -12.66666667 + 4.694444446 = -7.972222224
4.694444446 + -4.333333333x + x2 = -7.972222224

Factor a perfect square on the left side:
(x + -2.166666667)(x + -2.166666667) = -7.972222224

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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