4x*-20x+25=40-16x

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Solution for 4x*-20x+25=40-16x equation: 


Simplifying
4x * -20x + 25 = 40 + -16x

Reorder the terms for easier multiplication:
4 * -20x * x + 25 = 40 + -16x

Multiply 4 * -20
-80x * x + 25 = 40 + -16x

Multiply x * x
-80x2 + 25 = 40 + -16x

Reorder the terms:
25 + -80x2 = 40 + -16x

Solving
25 + -80x2 = 40 + -16x

Solving for variable 'x'.

Reorder the terms:
25 + -40 + 16x + -80x2 = 40 + -16x + -40 + 16x

Combine like terms: 25 + -40 = -15
-15 + 16x + -80x2 = 40 + -16x + -40 + 16x

Reorder the terms:
-15 + 16x + -80x2 = 40 + -40 + -16x + 16x

Combine like terms: 40 + -40 = 0
-15 + 16x + -80x2 = 0 + -16x + 16x
-15 + 16x + -80x2 = -16x + 16x

Combine like terms: -16x + 16x = 0
-15 + 16x + -80x2 = 0

Begin completing the square.  Divide all terms by
-80 the coefficient of the squared term: 

Divide each side by '-80'.
0.1875 + -0.2x + x2 = 0.0

Move the constant term to the right:

Add '-0.1875' to each side of the equation.
0.1875 + -0.2x + -0.1875 + x2 = 0.0 + -0.1875

Reorder the terms:
0.1875 + -0.1875 + -0.2x + x2 = 0.0 + -0.1875

Combine like terms: 0.1875 + -0.1875 = 0.0000
0.0000 + -0.2x + x2 = 0.0 + -0.1875
-0.2x + x2 = 0.0 + -0.1875

Combine like terms: 0.0 + -0.1875 = -0.1875
-0.2x + x2 = -0.1875

The x term is -0.2x.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2x + 0.01 + x2 = -0.1875 + 0.01

Reorder the terms:
0.01 + -0.2x + x2 = -0.1875 + 0.01

Combine like terms: -0.1875 + 0.01 = -0.1775
0.01 + -0.2x + x2 = -0.1775

Factor a perfect square on the left side:
(x + -0.1)(x + -0.1) = -0.1775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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