x^2+30x+450=0

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Solution for x^2+30x+450=0 equation:


Simplifying
x2 + 30x + 450 = 0

Reorder the terms:
450 + 30x + x2 = 0

Solving
450 + 30x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-450' to each side of the equation.
450 + 30x + -450 + x2 = 0 + -450

Reorder the terms:
450 + -450 + 30x + x2 = 0 + -450

Combine like terms: 450 + -450 = 0
0 + 30x + x2 = 0 + -450
30x + x2 = 0 + -450

Combine like terms: 0 + -450 = -450
30x + x2 = -450

The x term is 30x.  Take half its coefficient (15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
30x + 225 + x2 = -450 + 225

Reorder the terms:
225 + 30x + x2 = -450 + 225

Combine like terms: -450 + 225 = -225
225 + 30x + x2 = -225

Factor a perfect square on the left side:
(x + 15)(x + 15) = -225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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