1=(1+3.5x)(0.4-x)

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Solution for 1=(1+3.5x)(0.4-x) equation:


Simplifying
1 = (1 + 3.5x)(0.4 + -1x)

Multiply (1 + 3.5x) * (0.4 + -1x)
1 = (1(0.4 + -1x) + 3.5x * (0.4 + -1x))
1 = ((0.4 * 1 + -1x * 1) + 3.5x * (0.4 + -1x))
1 = ((0.4 + -1x) + 3.5x * (0.4 + -1x))
1 = (0.4 + -1x + (0.4 * 3.5x + -1x * 3.5x))
1 = (0.4 + -1x + (1.4x + -3.5x2))

Combine like terms: -1x + 1.4x = 0.4x
1 = (0.4 + 0.4x + -3.5x2)

Solving
1 = 0.4 + 0.4x + -3.5x2

Solving for variable 'x'.

Combine like terms: 1 + -0.4 = 0.6
0.6 + -0.4x + 3.5x2 = 0.4 + 0.4x + -3.5x2 + -0.4 + -0.4x + 3.5x2

Reorder the terms:
0.6 + -0.4x + 3.5x2 = 0.4 + -0.4 + 0.4x + -0.4x + -3.5x2 + 3.5x2

Combine like terms: 0.4 + -0.4 = 0.0
0.6 + -0.4x + 3.5x2 = 0.0 + 0.4x + -0.4x + -3.5x2 + 3.5x2
0.6 + -0.4x + 3.5x2 = 0.4x + -0.4x + -3.5x2 + 3.5x2

Combine like terms: 0.4x + -0.4x = 0.0
0.6 + -0.4x + 3.5x2 = 0.0 + -3.5x2 + 3.5x2
0.6 + -0.4x + 3.5x2 = -3.5x2 + 3.5x2

Combine like terms: -3.5x2 + 3.5x2 = 0.0
0.6 + -0.4x + 3.5x2 = 0.0

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

Divide each side by '3.5'.
0.1714285714 + -0.1142857143x + x2 = 0

Move the constant term to the right:

Add '-0.1714285714' to each side of the equation.
0.1714285714 + -0.1142857143x + -0.1714285714 + x2 = 0 + -0.1714285714

Reorder the terms:
0.1714285714 + -0.1714285714 + -0.1142857143x + x2 = 0 + -0.1714285714

Combine like terms: 0.1714285714 + -0.1714285714 = 0.0000000000
0.0000000000 + -0.1142857143x + x2 = 0 + -0.1714285714
-0.1142857143x + x2 = 0 + -0.1714285714

Combine like terms: 0 + -0.1714285714 = -0.1714285714
-0.1142857143x + x2 = -0.1714285714

The x term is -0.1142857143x.  Take half its coefficient (-0.05714285715).
Square it (0.003265306123) and add it to both sides.

Add '0.003265306123' to each side of the equation.
-0.1142857143x + 0.003265306123 + x2 = -0.1714285714 + 0.003265306123

Reorder the terms:
0.003265306123 + -0.1142857143x + x2 = -0.1714285714 + 0.003265306123

Combine like terms: -0.1714285714 + 0.003265306123 = -0.168163265277
0.003265306123 + -0.1142857143x + x2 = -0.168163265277

Factor a perfect square on the left side:
(x + -0.05714285715)(x + -0.05714285715) = -0.168163265277

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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