x^2+48x+4900=0

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Solution for x^2+48x+4900=0 equation:


Simplifying
x2 + 48x + 4900 = 0

Reorder the terms:
4900 + 48x + x2 = 0

Solving
4900 + 48x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4900' to each side of the equation.
4900 + 48x + -4900 + x2 = 0 + -4900

Reorder the terms:
4900 + -4900 + 48x + x2 = 0 + -4900

Combine like terms: 4900 + -4900 = 0
0 + 48x + x2 = 0 + -4900
48x + x2 = 0 + -4900

Combine like terms: 0 + -4900 = -4900
48x + x2 = -4900

The x term is 48x.  Take half its coefficient (24).
Square it (576) and add it to both sides.

Add '576' to each side of the equation.
48x + 576 + x2 = -4900 + 576

Reorder the terms:
576 + 48x + x2 = -4900 + 576

Combine like terms: -4900 + 576 = -4324
576 + 48x + x2 = -4324

Factor a perfect square on the left side:
(x + 24)(x + 24) = -4324

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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