21x-24x^2+6x-9-24x^2=0

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Solution for 21x-24x^2+6x-9-24x^2=0 equation: 


Simplifying
21x + -24x2 + 6x + -9 + -24x2 = 0

Reorder the terms:
-9 + 21x + 6x + -24x2 + -24x2 = 0

Combine like terms: 21x + 6x = 27x
-9 + 27x + -24x2 + -24x2 = 0

Combine like terms: -24x2 + -24x2 = -48x2
-9 + 27x + -48x2 = 0

Solving
-9 + 27x + -48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 9x + -16x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + 9x + -16x2)' equal to zero and attempt to solve:

Simplifying
-3 + 9x + -16x2 = 0

Solving
-3 + 9x + -16x2 = 0

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

Divide each side by '-16'.
0.1875 + -0.5625x + x2 = 0

Move the constant term to the right:

Add '-0.1875' to each side of the equation.
0.1875 + -0.5625x + -0.1875 + x2 = 0 + -0.1875

Reorder the terms:
0.1875 + -0.1875 + -0.5625x + x2 = 0 + -0.1875

Combine like terms: 0.1875 + -0.1875 = 0.0000
0.0000 + -0.5625x + x2 = 0 + -0.1875
-0.5625x + x2 = 0 + -0.1875

Combine like terms: 0 + -0.1875 = -0.1875
-0.5625x + x2 = -0.1875

The x term is -0.5625x.  Take half its coefficient (-0.28125).
Square it (0.0791015625) and add it to both sides.

Add '0.0791015625' to each side of the equation.
-0.5625x + 0.0791015625 + x2 = -0.1875 + 0.0791015625

Reorder the terms:
0.0791015625 + -0.5625x + x2 = -0.1875 + 0.0791015625

Combine like terms: -0.1875 + 0.0791015625 = -0.1083984375
0.0791015625 + -0.5625x + x2 = -0.1083984375

Factor a perfect square on the left side:
(x + -0.28125)(x + -0.28125) = -0.1083984375

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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