x*x+10*x+468=10

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Solution for x*x+10*x+468=10 equation:


Simplifying
x * x + 10x + 468 = 10

Multiply x * x
x2 + 10x + 468 = 10

Reorder the terms:
468 + 10x + x2 = 10

Solving
468 + 10x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
468 + -10 + 10x + x2 = 10 + -10

Combine like terms: 468 + -10 = 458
458 + 10x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
458 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-458' to each side of the equation.
458 + 10x + -458 + x2 = 0 + -458

Reorder the terms:
458 + -458 + 10x + x2 = 0 + -458

Combine like terms: 458 + -458 = 0
0 + 10x + x2 = 0 + -458
10x + x2 = 0 + -458

Combine like terms: 0 + -458 = -458
10x + x2 = -458

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -458 + 25

Reorder the terms:
25 + 10x + x2 = -458 + 25

Combine like terms: -458 + 25 = -433
25 + 10x + x2 = -433

Factor a perfect square on the left side:
(x + 5)(x + 5) = -433

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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