8x^2+16x+73=7

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Solution for 8x^2+16x+73=7 equation: 


Simplifying
8x2 + 16x + 73 = 7

Reorder the terms:
73 + 16x + 8x2 = 7

Solving
73 + 16x + 8x2 = 7

Solving for variable 'x'.

Reorder the terms:
73 + -7 + 16x + 8x2 = 7 + -7

Combine like terms: 73 + -7 = 66
66 + 16x + 8x2 = 7 + -7

Combine like terms: 7 + -7 = 0
66 + 16x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + 8x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(33 + 8x + 4x2)' equal to zero and attempt to solve:

Simplifying
33 + 8x + 4x2 = 0

Solving
33 + 8x + 4x2 = 0

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

Divide each side by '4'.
8.25 + 2x + x2 = 0

Move the constant term to the right:

Add '-8.25' to each side of the equation.
8.25 + 2x + -8.25 + x2 = 0 + -8.25

Reorder the terms:
8.25 + -8.25 + 2x + x2 = 0 + -8.25

Combine like terms: 8.25 + -8.25 = 0.00
0.00 + 2x + x2 = 0 + -8.25
2x + x2 = 0 + -8.25

Combine like terms: 0 + -8.25 = -8.25
2x + x2 = -8.25

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -8.25 + 1

Reorder the terms:
1 + 2x + x2 = -8.25 + 1

Combine like terms: -8.25 + 1 = -7.25
1 + 2x + x2 = -7.25

Factor a perfect square on the left side:
(x + 1)(x + 1) = -7.25

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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