11.4=(.6-2x)(.24+x)

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Solution for 11.4=(.6-2x)(.24+x) equation: 


Simplifying
11.4 = (0.6 + -2x)(0.24 + x)

Multiply (0.6 + -2x) * (0.24 + x)
11.4 = (0.6(0.24 + x) + -2x * (0.24 + x))
11.4 = ((0.24 * 0.6 + x * 0.6) + -2x * (0.24 + x))
11.4 = ((0.144 + 0.6x) + -2x * (0.24 + x))
11.4 = (0.144 + 0.6x + (0.24 * -2x + x * -2x))
11.4 = (0.144 + 0.6x + (-0.48x + -2x2))

Combine like terms: 0.6x + -0.48x = 0.12x
11.4 = (0.144 + 0.12x + -2x2)

Solving
11.4 = 0.144 + 0.12x + -2x2

Solving for variable 'x'.

Combine like terms: 11.4 + -0.144 = 11.256
11.256 + -0.12x + 2x2 = 0.144 + 0.12x + -2x2 + -0.144 + -0.12x + 2x2

Reorder the terms:
11.256 + -0.12x + 2x2 = 0.144 + -0.144 + 0.12x + -0.12x + -2x2 + 2x2

Combine like terms: 0.144 + -0.144 = 0.000
11.256 + -0.12x + 2x2 = 0.000 + 0.12x + -0.12x + -2x2 + 2x2
11.256 + -0.12x + 2x2 = 0.12x + -0.12x + -2x2 + 2x2

Combine like terms: 0.12x + -0.12x = 0.00
11.256 + -0.12x + 2x2 = 0.00 + -2x2 + 2x2
11.256 + -0.12x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
11.256 + -0.12x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
5.628 + -0.06x + x2 = 0

Move the constant term to the right:

Add '-5.628' to each side of the equation.
5.628 + -0.06x + -5.628 + x2 = 0 + -5.628

Reorder the terms:
5.628 + -5.628 + -0.06x + x2 = 0 + -5.628

Combine like terms: 5.628 + -5.628 = 0.000
0.000 + -0.06x + x2 = 0 + -5.628
-0.06x + x2 = 0 + -5.628

Combine like terms: 0 + -5.628 = -5.628
-0.06x + x2 = -5.628

The x term is -0.06x.  Take half its coefficient (-0.03).
Square it (0.0009) and add it to both sides.

Add '0.0009' to each side of the equation.
-0.06x + 0.0009 + x2 = -5.628 + 0.0009

Reorder the terms:
0.0009 + -0.06x + x2 = -5.628 + 0.0009

Combine like terms: -5.628 + 0.0009 = -5.6271
0.0009 + -0.06x + x2 = -5.6271

Factor a perfect square on the left side:
(x + -0.03)(x + -0.03) = -5.6271

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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