(0.8-x)(0.7-x)+(0.3)(0.2)=0

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Solution for (0.8-x)(0.7-x)+(0.3)(0.2)=0 equation: 


Simplifying
(0.8 + -1x)(0.7 + -1x) + (0.3)(0.2) = 0

Multiply (0.8 + -1x) * (0.7 + -1x)
(0.8(0.7 + -1x) + -1x * (0.7 + -1x)) + (0.3)(0.2) = 0
((0.7 * 0.8 + -1x * 0.8) + -1x * (0.7 + -1x)) + (0.3)(0.2) = 0
((0.56 + -0.8x) + -1x * (0.7 + -1x)) + (0.3)(0.2) = 0
(0.56 + -0.8x + (0.7 * -1x + -1x * -1x)) + (0.3)(0.2) = 0
(0.56 + -0.8x + (-0.7x + 1x2)) + (0.3)(0.2) = 0

Combine like terms: -0.8x + -0.7x = -1.5x
(0.56 + -1.5x + 1x2) + (0.3)(0.2) = 0

Multiply 0.3 * 0.2
0.56 + -1.5x + 1x2 + 0.06 = 0

Reorder the terms:
0.56 + 0.06 + -1.5x + 1x2 = 0

Combine like terms: 0.56 + 0.06 = 0.62
0.62 + -1.5x + 1x2 = 0

Solving
0.62 + -1.5x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.62' to each side of the equation.
0.62 + -1.5x + -0.62 + x2 = 0 + -0.62

Reorder the terms:
0.62 + -0.62 + -1.5x + x2 = 0 + -0.62

Combine like terms: 0.62 + -0.62 = 0.00
0.00 + -1.5x + x2 = 0 + -0.62
-1.5x + x2 = 0 + -0.62

Combine like terms: 0 + -0.62 = -0.62
-1.5x + x2 = -0.62

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -0.62 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -0.62 + 0.5625

Combine like terms: -0.62 + 0.5625 = -0.0575
0.5625 + -1.5x + x2 = -0.0575

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -0.0575

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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