x^2+16x=-162

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Solution for x^2+16x=-162 equation:


Simplifying
x2 + 16x = -162

Reorder the terms:
16x + x2 = -162

Solving
16x + x2 = -162

Solving for variable 'x'.

Reorder the terms:
162 + 16x + x2 = -162 + 162

Combine like terms: -162 + 162 = 0
162 + 16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-162' to each side of the equation.
162 + 16x + -162 + x2 = 0 + -162

Reorder the terms:
162 + -162 + 16x + x2 = 0 + -162

Combine like terms: 162 + -162 = 0
0 + 16x + x2 = 0 + -162
16x + x2 = 0 + -162

Combine like terms: 0 + -162 = -162
16x + x2 = -162

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 = -162 + 64

Reorder the terms:
64 + 16x + x2 = -162 + 64

Combine like terms: -162 + 64 = -98
64 + 16x + x2 = -98

Factor a perfect square on the left side:
(x + 8)(x + 8) = -98

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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