.5x(2x-6)=-6

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Solution for .5x(2x-6)=-6 equation:


Simplifying
0.5x(2x + -6) = -6

Reorder the terms:
0.5x(-6 + 2x) = -6
(-6 * 0.5x + 2x * 0.5x) = -6
(-3x + 1x2) = -6

Solving
-3x + 1x2 = -6

Solving for variable 'x'.

Reorder the terms:
6 + -3x + 1x2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -3x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -3x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3x + x2 = 0 + -6
-3x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3x + x2 = -6

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 = -6 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + -3x + x2 = -3.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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