.02x-.03x(4-2x)=.04(x-6)-.16

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Solution for .02x-.03x(4-2x)=.04(x-6)-.16 equation: 


Simplifying
0.02x + -0.03x(4 + -2x) = 0.04(x + -6) + -0.16
0.02x + (4 * -0.03x + -2x * -0.03x) = 0.04(x + -6) + -0.16
0.02x + (-0.12x + 0.06x2) = 0.04(x + -6) + -0.16

Combine like terms: 0.02x + -0.12x = -0.1x
-0.1x + 0.06x2 = 0.04(x + -6) + -0.16

Reorder the terms:
-0.1x + 0.06x2 = 0.04(-6 + x) + -0.16
-0.1x + 0.06x2 = (-6 * 0.04 + x * 0.04) + -0.16
-0.1x + 0.06x2 = (-0.24 + 0.04x) + -0.16

Reorder the terms:
-0.1x + 0.06x2 = -0.24 + -0.16 + 0.04x

Combine like terms: -0.24 + -0.16 = -0.4
-0.1x + 0.06x2 = -0.4 + 0.04x

Solving
-0.1x + 0.06x2 = -0.4 + 0.04x

Solving for variable 'x'.

Reorder the terms:
0.4 + -0.1x + -0.04x + 0.06x2 = -0.4 + 0.04x + 0.4 + -0.04x

Combine like terms: -0.1x + -0.04x = -0.14x
0.4 + -0.14x + 0.06x2 = -0.4 + 0.04x + 0.4 + -0.04x

Reorder the terms:
0.4 + -0.14x + 0.06x2 = -0.4 + 0.4 + 0.04x + -0.04x

Combine like terms: -0.4 + 0.4 = 0.0
0.4 + -0.14x + 0.06x2 = 0.0 + 0.04x + -0.04x
0.4 + -0.14x + 0.06x2 = 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
0.4 + -0.14x + 0.06x2 = 0.00

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

Divide each side by '0.06'.
6.666666667 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -2.333333333x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -2.333333333x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -6.666666667
-2.333333333x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-2.333333333x + x2 = -6.666666667

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -6.666666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -6.666666667 + 1.361111112

Combine like terms: -6.666666667 + 1.361111112 = -5.305555555
1.361111112 + -2.333333333x + x2 = -5.305555555

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -5.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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