(0.7+2x)(0.2-x)=16

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Solution for (0.7+2x)(0.2-x)=16 equation: 


Simplifying
(0.7 + 2x)(0.2 + -1x) = 16

Multiply (0.7 + 2x) * (0.2 + -1x)
(0.7(0.2 + -1x) + 2x * (0.2 + -1x)) = 16
((0.2 * 0.7 + -1x * 0.7) + 2x * (0.2 + -1x)) = 16
((0.14 + -0.7x) + 2x * (0.2 + -1x)) = 16
(0.14 + -0.7x + (0.2 * 2x + -1x * 2x)) = 16
(0.14 + -0.7x + (0.4x + -2x2)) = 16

Combine like terms: -0.7x + 0.4x = -0.3x
(0.14 + -0.3x + -2x2) = 16

Solving
0.14 + -0.3x + -2x2 = 16

Solving for variable 'x'.

Reorder the terms:
0.14 + -16 + -0.3x + -2x2 = 16 + -16

Combine like terms: 0.14 + -16 = -15.86
-15.86 + -0.3x + -2x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-15.86 + -0.3x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
7.93 + 0.15x + x2 = 0

Move the constant term to the right:

Add '-7.93' to each side of the equation.
7.93 + 0.15x + -7.93 + x2 = 0 + -7.93

Reorder the terms:
7.93 + -7.93 + 0.15x + x2 = 0 + -7.93

Combine like terms: 7.93 + -7.93 = 0.00
0.00 + 0.15x + x2 = 0 + -7.93
0.15x + x2 = 0 + -7.93

Combine like terms: 0 + -7.93 = -7.93
0.15x + x2 = -7.93

The x term is 0.15x.  Take half its coefficient (0.075).
Square it (0.005625) and add it to both sides.

Add '0.005625' to each side of the equation.
0.15x + 0.005625 + x2 = -7.93 + 0.005625

Reorder the terms:
0.005625 + 0.15x + x2 = -7.93 + 0.005625

Combine like terms: -7.93 + 0.005625 = -7.924375
0.005625 + 0.15x + x2 = -7.924375

Factor a perfect square on the left side:
(x + 0.075)(x + 0.075) = -7.924375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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