-x(x+3)=270

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Solution for -x(x+3)=270 equation: 


Simplifying
-1x(x + 3) = 270

Reorder the terms:
-1x(3 + x) = 270
(3 * -1x + x * -1x) = 270
(-3x + -1x2) = 270

Solving
-3x + -1x2 = 270

Solving for variable 'x'.

Reorder the terms:
-270 + -3x + -1x2 = 270 + -270

Combine like terms: 270 + -270 = 0
-270 + -3x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(270 + 3x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(270 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
270 + 3x + x2 = 0

Solving
270 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-270' to each side of the equation.
270 + 3x + -270 + x2 = 0 + -270

Reorder the terms:
270 + -270 + 3x + x2 = 0 + -270

Combine like terms: 270 + -270 = 0
0 + 3x + x2 = 0 + -270
3x + x2 = 0 + -270

Combine like terms: 0 + -270 = -270
3x + x2 = -270

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -270 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -270 + 2.25

Combine like terms: -270 + 2.25 = -267.75
2.25 + 3x + x2 = -267.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -267.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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