5x*5x=-6x-1

Solution for 5x*5x=-6x-1 equation:

Simplifying
5x * 5x = -6x + -1

Reorder the terms for easier multiplication:
5 * 5x * x = -6x + -1

Multiply 5 * 5
25x * x = -6x + -1

Multiply x * x
25x2 = -6x + -1

Reorder the terms:
25x2 = -1 + -6x

Solving
25x2 = -1 + -6x

Solving for variable 'x'.

Reorder the terms:
1 + 6x + 25x2 = -1 + -6x + 1 + 6x

Reorder the terms:
1 + 6x + 25x2 = -1 + 1 + -6x + 6x

Combine like terms: -1 + 1 = 0
1 + 6x + 25x2 = 0 + -6x + 6x
1 + 6x + 25x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 6x + 25x2 = 0

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

Divide each side by '25'.
0.04 + 0.24x + x2 = 0

Move the constant term to the right:

Add '-0.04' to each side of the equation.
0.04 + 0.24x + -0.04 + x2 = 0 + -0.04

Reorder the terms:
0.04 + -0.04 + 0.24x + x2 = 0 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + 0.24x + x2 = 0 + -0.04
0.24x + x2 = 0 + -0.04

Combine like terms: 0 + -0.04 = -0.04
0.24x + x2 = -0.04

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 = -0.04 + 0.0144

Reorder the terms:
0.0144 + 0.24x + x2 = -0.04 + 0.0144

Combine like terms: -0.04 + 0.0144 = -0.0256
0.0144 + 0.24x + x2 = -0.0256

Factor a perfect square on the left side:
(x + 0.12)(x + 0.12) = -0.0256

Can't calculate square root of the right side.

The solution to this equation could not be determined.