.70x+0.05x(6-x)=.10(55)

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Solution for .70x+0.05x(6-x)=.10(55) equation:


Simplifying
0.70x + 0.05x(6 + -1x) = 0.10(55)
0.70x + (6 * 0.05x + -1x * 0.05x) = 0.10(55)
0.70x + (0.3x + -0.05x2) = 0.10(55)

Combine like terms: 0.70x + 0.3x = 1x
1x + -0.05x2 = 0.10(55)

Multiply 0.10 * 55
1x + -0.05x2 = 5.5

Solving
1x + -0.05x2 = 5.5

Solving for variable 'x'.

Reorder the terms:
-5.5 + 1x + -0.05x2 = 5.5 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
-5.5 + 1x + -0.05x2 = 0.0

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

Divide each side by '-0.05'.
110 + -20x + x2 = 0

Move the constant term to the right:

Add '-110' to each side of the equation.
110 + -20x + -110 + x2 = 0 + -110

Reorder the terms:
110 + -110 + -20x + x2 = 0 + -110

Combine like terms: 110 + -110 = 0
0 + -20x + x2 = 0 + -110
-20x + x2 = 0 + -110

Combine like terms: 0 + -110 = -110
-20x + x2 = -110

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -110 + 100

Reorder the terms:
100 + -20x + x2 = -110 + 100

Combine like terms: -110 + 100 = -10
100 + -20x + x2 = -10

Factor a perfect square on the left side:
(x + -10)(x + -10) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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