(5x)(5x)+17x=-6

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Solution for (5x)(5x)+17x=-6 equation:


Simplifying
(5x)(5x) + 17x = -6

Remove parenthesis around (5x)
5x(5x) + 17x = -6

Remove parenthesis around (5x)
5x * 5x + 17x = -6

Reorder the terms for easier multiplication:
5 * 5x * x + 17x = -6

Multiply 5 * 5
25x * x + 17x = -6

Multiply x * x
25x2 + 17x = -6

Reorder the terms:
17x + 25x2 = -6

Solving
17x + 25x2 = -6

Solving for variable 'x'.

Reorder the terms:
6 + 17x + 25x2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 17x + 25x2 = 0

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

Divide each side by '25'.
0.24 + 0.68x + x2 = 0

Move the constant term to the right:

Add '-0.24' to each side of the equation.
0.24 + 0.68x + -0.24 + x2 = 0 + -0.24

Reorder the terms:
0.24 + -0.24 + 0.68x + x2 = 0 + -0.24

Combine like terms: 0.24 + -0.24 = 0.00
0.00 + 0.68x + x2 = 0 + -0.24
0.68x + x2 = 0 + -0.24

Combine like terms: 0 + -0.24 = -0.24
0.68x + x2 = -0.24

The x term is 0.68x.  Take half its coefficient (0.34).
Square it (0.1156) and add it to both sides.

Add '0.1156' to each side of the equation.
0.68x + 0.1156 + x2 = -0.24 + 0.1156

Reorder the terms:
0.1156 + 0.68x + x2 = -0.24 + 0.1156

Combine like terms: -0.24 + 0.1156 = -0.1244
0.1156 + 0.68x + x2 = -0.1244

Factor a perfect square on the left side:
(x + 0.34)(x + 0.34) = -0.1244

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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