2x-5=25x^2

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Solution for 2x-5=25x^2 equation:


Simplifying
2x + -5 = 25x2

Reorder the terms:
-5 + 2x = 25x2

Solving
-5 + 2x = 25x2

Solving for variable 'x'.

Combine like terms: 25x2 + -25x2 = 0
-5 + 2x + -25x2 = 0

Begin completing the square.  Divide all terms by
-25 the coefficient of the squared term: 

Divide each side by '-25'.
0.2 + -0.08x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.08x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.08x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.08x + x2 = 0 + -0.2
-0.08x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.08x + x2 = -0.2

The x term is -0.08x.  Take half its coefficient (-0.04).
Square it (0.0016) and add it to both sides.

Add '0.0016' to each side of the equation.
-0.08x + 0.0016 + x2 = -0.2 + 0.0016

Reorder the terms:
0.0016 + -0.08x + x2 = -0.2 + 0.0016

Combine like terms: -0.2 + 0.0016 = -0.1984
0.0016 + -0.08x + x2 = -0.1984

Factor a perfect square on the left side:
(x + -0.04)(x + -0.04) = -0.1984

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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