-.10(11)+.30x=.05x(x-2)

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Solution for -.10(11)+.30x=.05x(x-2) equation:


Simplifying
-0.10(11) + 0.30x = 0.05x(x + -2)

Multiply -0.10 * 11
-1.1 + 0.30x = 0.05x(x + -2)

Reorder the terms:
-1.1 + 0.30x = 0.05x(-2 + x)
-1.1 + 0.30x = (-2 * 0.05x + x * 0.05x)
-1.1 + 0.30x = (-0.1x + 0.05x2)

Solving
-1.1 + 0.30x = -0.1x + 0.05x2

Solving for variable 'x'.

Combine like terms: 0.30x + 0.1x = 0.4x
-1.1 + 0.4x + -0.05x2 = -0.1x + 0.05x2 + 0.1x + -0.05x2

Reorder the terms:
-1.1 + 0.4x + -0.05x2 = -0.1x + 0.1x + 0.05x2 + -0.05x2

Combine like terms: -0.1x + 0.1x = 0.0
-1.1 + 0.4x + -0.05x2 = 0.0 + 0.05x2 + -0.05x2
-1.1 + 0.4x + -0.05x2 = 0.05x2 + -0.05x2

Combine like terms: 0.05x2 + -0.05x2 = 0.00
-1.1 + 0.4x + -0.05x2 = 0.00

Begin completing the square.  Divide all terms by
-0.05 the coefficient of the squared term: 

Divide each side by '-0.05'.
22 + -8x + x2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -8x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + -8x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -8x + x2 = 0 + -22
-8x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
-8x + x2 = -22

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -22 + 16

Reorder the terms:
16 + -8x + x2 = -22 + 16

Combine like terms: -22 + 16 = -6
16 + -8x + x2 = -6

Factor a perfect square on the left side:
(x + -4)(x + -4) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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