(.1-x)*(1.1-x)+6(.15)=0

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Solution for (.1-x)*(1.1-x)+6(.15)=0 equation: 


Simplifying
(0.1 + -1x)(1.1 + -1x) + 6(0.15) = 0

Multiply (0.1 + -1x) * (1.1 + -1x)
(0.1(1.1 + -1x) + -1x * (1.1 + -1x)) + 6(0.15) = 0
((1.1 * 0.1 + -1x * 0.1) + -1x * (1.1 + -1x)) + 6(0.15) = 0
((0.11 + -0.1x) + -1x * (1.1 + -1x)) + 6(0.15) = 0
(0.11 + -0.1x + (1.1 * -1x + -1x * -1x)) + 6(0.15) = 0
(0.11 + -0.1x + (-1.1x + 1x2)) + 6(0.15) = 0

Combine like terms: -0.1x + -1.1x = -1.2x
(0.11 + -1.2x + 1x2) + 6(0.15) = 0

Multiply 6 * 0.15
0.11 + -1.2x + 1x2 + 0.9 = 0

Reorder the terms:
0.11 + 0.9 + -1.2x + 1x2 = 0

Combine like terms: 0.11 + 0.9 = 1.01
1.01 + -1.2x + 1x2 = 0

Solving
1.01 + -1.2x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1.01' to each side of the equation.
1.01 + -1.2x + -1.01 + x2 = 0 + -1.01

Reorder the terms:
1.01 + -1.01 + -1.2x + x2 = 0 + -1.01

Combine like terms: 1.01 + -1.01 = 0.00
0.00 + -1.2x + x2 = 0 + -1.01
-1.2x + x2 = 0 + -1.01

Combine like terms: 0 + -1.01 = -1.01
-1.2x + x2 = -1.01

The x term is -1.2x.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2x + 0.36 + x2 = -1.01 + 0.36

Reorder the terms:
0.36 + -1.2x + x2 = -1.01 + 0.36

Combine like terms: -1.01 + 0.36 = -0.65
0.36 + -1.2x + x2 = -0.65

Factor a perfect square on the left side:
(x + -0.6)(x + -0.6) = -0.65

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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