24x^2-168x+296=

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Solution for 24x^2-168x+296= equation: 


Simplifying
24x2 + -168x + 296 = 0

Reorder the terms:
296 + -168x + 24x2 = 0

Solving
296 + -168x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(37 + -21x + 3x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(37 + -21x + 3x2)' equal to zero and attempt to solve:

Simplifying
37 + -21x + 3x2 = 0

Solving
37 + -21x + 3x2 = 0

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

Divide each side by '3'.
12.33333333 + -7x + x2 = 0

Move the constant term to the right:

Add '-12.33333333' to each side of the equation.
12.33333333 + -7x + -12.33333333 + x2 = 0 + -12.33333333

Reorder the terms:
12.33333333 + -12.33333333 + -7x + x2 = 0 + -12.33333333

Combine like terms: 12.33333333 + -12.33333333 = 0.00000000
0.00000000 + -7x + x2 = 0 + -12.33333333
-7x + x2 = 0 + -12.33333333

Combine like terms: 0 + -12.33333333 = -12.33333333
-7x + x2 = -12.33333333

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -12.33333333 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -12.33333333 + 12.25

Combine like terms: -12.33333333 + 12.25 = -0.08333333
12.25 + -7x + x2 = -0.08333333

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -0.08333333

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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