16x=x^2+144

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Solution for 16x=x^2+144 equation:


Simplifying
16x = x2 + 144

Reorder the terms:
16x = 144 + x2

Solving
16x = 144 + x2

Solving for variable 'x'.

Reorder the terms:
-144 + 16x + -1x2 = 144 + x2 + -144 + -1x2

Reorder the terms:
-144 + 16x + -1x2 = 144 + -144 + x2 + -1x2

Combine like terms: 144 + -144 = 0
-144 + 16x + -1x2 = 0 + x2 + -1x2
-144 + 16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-144 + 16x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
144 + -16x + x2 = 0

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + -16x + -144 + x2 = 0 + -144

Reorder the terms:
144 + -144 + -16x + x2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -16x + x2 = 0 + -144
-16x + x2 = 0 + -144

Combine like terms: 0 + -144 = -144
-16x + x2 = -144

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -144 + 64

Reorder the terms:
64 + -16x + x2 = -144 + 64

Combine like terms: -144 + 64 = -80
64 + -16x + x2 = -80

Factor a perfect square on the left side:
(x + -8)(x + -8) = -80

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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