2(3x-2)=25x^2

Solution for 2(3x-2)=25x^2 equation:

Simplifying
2(3x + -2) = 25x2

Reorder the terms:
2(-2 + 3x) = 25x2
(-2 * 2 + 3x * 2) = 25x2
(-4 + 6x) = 25x2

Solving
-4 + 6x = 25x2

Solving for variable 'x'.

Combine like terms: 25x2 + -25x2 = 0
-4 + 6x + -25x2 = 0

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

Divide each side by '-25'.
0.16 + -0.24x + x2 = 0

Move the constant term to the right:

Add '-0.16' to each side of the equation.
0.16 + -0.24x + -0.16 + x2 = 0 + -0.16

Reorder the terms:
0.16 + -0.16 + -0.24x + x2 = 0 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + -0.24x + x2 = 0 + -0.16
-0.24x + x2 = 0 + -0.16

Combine like terms: 0 + -0.16 = -0.16
-0.24x + x2 = -0.16

The x term is -0.24x.  Take half its coefficient (-0.12).
Square it (0.0144) and add it to both sides.

Add '0.0144' to each side of the equation.
-0.24x + 0.0144 + x2 = -0.16 + 0.0144

Reorder the terms:
0.0144 + -0.24x + x2 = -0.16 + 0.0144

Combine like terms: -0.16 + 0.0144 = -0.1456
0.0144 + -0.24x + x2 = -0.1456

Factor a perfect square on the left side:
(x + -0.12)(x + -0.12) = -0.1456

Can't calculate square root of the right side.

The solution to this equation could not be determined.