x^2+8x+75=13

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Solution for x^2+8x+75=13 equation:


Simplifying
x2 + 8x + 75 = 13

Reorder the terms:
75 + 8x + x2 = 13

Solving
75 + 8x + x2 = 13

Solving for variable 'x'.

Reorder the terms:
75 + -13 + 8x + x2 = 13 + -13

Combine like terms: 75 + -13 = 62
62 + 8x + x2 = 13 + -13

Combine like terms: 13 + -13 = 0
62 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-62' to each side of the equation.
62 + 8x + -62 + x2 = 0 + -62

Reorder the terms:
62 + -62 + 8x + x2 = 0 + -62

Combine like terms: 62 + -62 = 0
0 + 8x + x2 = 0 + -62
8x + x2 = 0 + -62

Combine like terms: 0 + -62 = -62
8x + x2 = -62

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 = -62 + 16

Reorder the terms:
16 + 8x + x2 = -62 + 16

Combine like terms: -62 + 16 = -46
16 + 8x + x2 = -46

Factor a perfect square on the left side:
(x + 4)(x + 4) = -46

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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