x(x-4)=-1440

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Solution for x(x-4)=-1440 equation:


Simplifying
x(x + -4) = -1440

Reorder the terms:
x(-4 + x) = -1440
(-4 * x + x * x) = -1440
(-4x + x2) = -1440

Solving
-4x + x2 = -1440

Solving for variable 'x'.

Reorder the terms:
1440 + -4x + x2 = -1440 + 1440

Combine like terms: -1440 + 1440 = 0
1440 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1440' to each side of the equation.
1440 + -4x + -1440 + x2 = 0 + -1440

Reorder the terms:
1440 + -1440 + -4x + x2 = 0 + -1440

Combine like terms: 1440 + -1440 = 0
0 + -4x + x2 = 0 + -1440
-4x + x2 = 0 + -1440

Combine like terms: 0 + -1440 = -1440
-4x + x2 = -1440

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -1440 + 4

Reorder the terms:
4 + -4x + x2 = -1440 + 4

Combine like terms: -1440 + 4 = -1436
4 + -4x + x2 = -1436

Factor a perfect square on the left side:
(x + -2)(x + -2) = -1436

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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