22x^2+16x+64=0

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Solution for 22x^2+16x+64=0 equation: 


Simplifying
22x2 + 16x + 64 = 0

Reorder the terms:
64 + 16x + 22x2 = 0

Solving
64 + 16x + 22x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + 8x + 11x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(32 + 8x + 11x2)' equal to zero and attempt to solve:

Simplifying
32 + 8x + 11x2 = 0

Solving
32 + 8x + 11x2 = 0

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

Divide each side by '11'.
2.909090909 + 0.7272727273x + x2 = 0

Move the constant term to the right:

Add '-2.909090909' to each side of the equation.
2.909090909 + 0.7272727273x + -2.909090909 + x2 = 0 + -2.909090909

Reorder the terms:
2.909090909 + -2.909090909 + 0.7272727273x + x2 = 0 + -2.909090909

Combine like terms: 2.909090909 + -2.909090909 = 0.000000000
0.000000000 + 0.7272727273x + x2 = 0 + -2.909090909
0.7272727273x + x2 = 0 + -2.909090909

Combine like terms: 0 + -2.909090909 = -2.909090909
0.7272727273x + x2 = -2.909090909

The x term is 0.7272727273x.  Take half its coefficient (0.3636363637).
Square it (0.1322314050) and add it to both sides.

Add '0.1322314050' to each side of the equation.
0.7272727273x + 0.1322314050 + x2 = -2.909090909 + 0.1322314050

Reorder the terms:
0.1322314050 + 0.7272727273x + x2 = -2.909090909 + 0.1322314050

Combine like terms: -2.909090909 + 0.1322314050 = -2.776859504
0.1322314050 + 0.7272727273x + x2 = -2.776859504

Factor a perfect square on the left side:
(x + 0.3636363637)(x + 0.3636363637) = -2.776859504

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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