-4x^2+22x-36=0

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Solution for -4x^2+22x-36=0 equation: 


Simplifying
-4x2 + 22x + -36 = 0

Reorder the terms:
-36 + 22x + -4x2 = 0

Solving
-36 + 22x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + 11x + -2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-18 + 11x + -2x2)' equal to zero and attempt to solve:

Simplifying
-18 + 11x + -2x2 = 0

Solving
-18 + 11x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
9 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -5.5x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -5.5x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5.5x + x2 = 0 + -9
-5.5x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-5.5x + x2 = -9

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -9 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -9 + 7.5625

Combine like terms: -9 + 7.5625 = -1.4375
7.5625 + -5.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = -1.4375

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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