.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) = 10(55)
0.70x + (6 * 0.05x + -1x * 0.05x) = 10(55)
0.70x + (0.3x + -0.05x2) = 10(55)

Combine like terms: 0.70x + 0.3x = 1x
1x + -0.05x2 = 10(55)

Multiply 10 * 55
1x + -0.05x2 = 550

Solving
1x + -0.05x2 = 550

Solving for variable 'x'.

Reorder the terms:
-550 + 1x + -0.05x2 = 550 + -550

Combine like terms: 550 + -550 = 0
-550 + 1x + -0.05x2 = 0

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

Divide each side by '-0.05'.
11000 + -20x + x2 = 0

Move the constant term to the right:

Add '-11000' to each side of the equation.
11000 + -20x + -11000 + x2 = 0 + -11000

Reorder the terms:
11000 + -11000 + -20x + x2 = 0 + -11000

Combine like terms: 11000 + -11000 = 0
0 + -20x + x2 = 0 + -11000
-20x + x2 = 0 + -11000

Combine like terms: 0 + -11000 = -11000
-20x + x2 = -11000

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 = -11000 + 100

Reorder the terms:
100 + -20x + x2 = -11000 + 100

Combine like terms: -11000 + 100 = -10900
100 + -20x + x2 = -10900

Factor a perfect square on the left side:
(x + -10)(x + -10) = -10900

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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