9+2(4-X)X=99

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Solution for 9+2(4-X)X=99 equation: 


Simplifying
9 + 2(4 + -1X) * X = 99

Reorder the terms for easier multiplication:
9 + 2X(4 + -1X) = 99
9 + (4 * 2X + -1X * 2X) = 99
9 + (8X + -2X2) = 99

Solving
9 + 8X + -2X2 = 99

Solving for variable 'X'.

Reorder the terms:
9 + -99 + 8X + -2X2 = 99 + -99

Combine like terms: 9 + -99 = -90
-90 + 8X + -2X2 = 99 + -99

Combine like terms: 99 + -99 = 0
-90 + 8X + -2X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + 4X + -1X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-45 + 4X + -1X2)' equal to zero and attempt to solve:

Simplifying
-45 + 4X + -1X2 = 0

Solving
-45 + 4X + -1X2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
45 + -4X + X2 = 0

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + -4X + -45 + X2 = 0 + -45

Reorder the terms:
45 + -45 + -4X + X2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -4X + X2 = 0 + -45
-4X + X2 = 0 + -45

Combine like terms: 0 + -45 = -45
-4X + X2 = -45

The X term is -4X.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4X + 4 + X2 = -45 + 4

Reorder the terms:
4 + -4X + X2 = -45 + 4

Combine like terms: -45 + 4 = -41
4 + -4X + X2 = -41

Factor a perfect square on the left side:
(X + -2)(X + -2) = -41

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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