8u^2-14u+36=0

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Solution for 8u^2-14u+36=0 equation: 


Simplifying
8u2 + -14u + 36 = 0

Reorder the terms:
36 + -14u + 8u2 = 0

Solving
36 + -14u + 8u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -7u + 4u2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(18 + -7u + 4u2)' equal to zero and attempt to solve:

Simplifying
18 + -7u + 4u2 = 0

Solving
18 + -7u + 4u2 = 0

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

Divide each side by '4'.
4.5 + -1.75u + u2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -1.75u + -4.5 + u2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -1.75u + u2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1.75u + u2 = 0 + -4.5
-1.75u + u2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-1.75u + u2 = -4.5

The u term is -1.75u.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75u + 0.765625 + u2 = -4.5 + 0.765625

Reorder the terms:
0.765625 + -1.75u + u2 = -4.5 + 0.765625

Combine like terms: -4.5 + 0.765625 = -3.734375
0.765625 + -1.75u + u2 = -3.734375

Factor a perfect square on the left side:
(u + -0.875)(u + -0.875) = -3.734375

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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