18x=x^2+28x+196

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Solution for 18x=x^2+28x+196 equation: 


Simplifying
18x = x2 + 28x + 196

Reorder the terms:
18x = 196 + 28x + x2

Solving
18x = 196 + 28x + x2

Solving for variable 'x'.

Reorder the terms:
-196 + 18x + -28x + -1x2 = 196 + 28x + x2 + -196 + -28x + -1x2

Combine like terms: 18x + -28x = -10x
-196 + -10x + -1x2 = 196 + 28x + x2 + -196 + -28x + -1x2

Reorder the terms:
-196 + -10x + -1x2 = 196 + -196 + 28x + -28x + x2 + -1x2

Combine like terms: 196 + -196 = 0
-196 + -10x + -1x2 = 0 + 28x + -28x + x2 + -1x2
-196 + -10x + -1x2 = 28x + -28x + x2 + -1x2

Combine like terms: 28x + -28x = 0
-196 + -10x + -1x2 = 0 + x2 + -1x2
-196 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-196 + -10x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(196 + 10x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(196 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
196 + 10x + x2 = 0

Solving
196 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-196' to each side of the equation.
196 + 10x + -196 + x2 = 0 + -196

Reorder the terms:
196 + -196 + 10x + x2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + 10x + x2 = 0 + -196
10x + x2 = 0 + -196

Combine like terms: 0 + -196 = -196
10x + x2 = -196

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -196 + 25

Reorder the terms:
25 + 10x + x2 = -196 + 25

Combine like terms: -196 + 25 = -171
25 + 10x + x2 = -171

Factor a perfect square on the left side:
(x + 5)(x + 5) = -171

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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