x^2+8x+64=36

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Solution for x^2+8x+64=36 equation:


Simplifying
x2 + 8x + 64 = 36

Reorder the terms:
64 + 8x + x2 = 36

Solving
64 + 8x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
64 + -36 + 8x + x2 = 36 + -36

Combine like terms: 64 + -36 = 28
28 + 8x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
28 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-28' to each side of the equation.
28 + 8x + -28 + x2 = 0 + -28

Reorder the terms:
28 + -28 + 8x + x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 8x + x2 = 0 + -28
8x + x2 = 0 + -28

Combine like terms: 0 + -28 = -28
8x + x2 = -28

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -28 + 16

Reorder the terms:
16 + 8x + x2 = -28 + 16

Combine like terms: -28 + 16 = -12
16 + 8x + x2 = -12

Factor a perfect square on the left side:
(x + 4)(x + 4) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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