(x+7)(x+7)+80=0

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Solution for (x+7)(x+7)+80=0 equation:


Simplifying
(x + 7)(x + 7) + 80 = 0

Reorder the terms:
(7 + x)(x + 7) + 80 = 0

Reorder the terms:
(7 + x)(7 + x) + 80 = 0

Multiply (7 + x) * (7 + x)
(7(7 + x) + x(7 + x)) + 80 = 0
((7 * 7 + x * 7) + x(7 + x)) + 80 = 0
((49 + 7x) + x(7 + x)) + 80 = 0
(49 + 7x + (7 * x + x * x)) + 80 = 0
(49 + 7x + (7x + x2)) + 80 = 0

Combine like terms: 7x + 7x = 14x
(49 + 14x + x2) + 80 = 0

Reorder the terms:
49 + 80 + 14x + x2 = 0

Combine like terms: 49 + 80 = 129
129 + 14x + x2 = 0

Solving
129 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-129' to each side of the equation.
129 + 14x + -129 + x2 = 0 + -129

Reorder the terms:
129 + -129 + 14x + x2 = 0 + -129

Combine like terms: 129 + -129 = 0
0 + 14x + x2 = 0 + -129
14x + x2 = 0 + -129

Combine like terms: 0 + -129 = -129
14x + x2 = -129

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = -129 + 49

Reorder the terms:
49 + 14x + x2 = -129 + 49

Combine like terms: -129 + 49 = -80
49 + 14x + x2 = -80

Factor a perfect square on the left side:
(x + 7)(x + 7) = -80

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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