15x(15x)+26x+8=0

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Solution for 15x(15x)+26x+8=0 equation:


Simplifying
15x(15x) + 26x + 8 = 0

Remove parenthesis around (15x)
15x * 15x + 26x + 8 = 0

Reorder the terms for easier multiplication:
15 * 15x * x + 26x + 8 = 0

Multiply 15 * 15
225x * x + 26x + 8 = 0

Multiply x * x
225x2 + 26x + 8 = 0

Reorder the terms:
8 + 26x + 225x2 = 0

Solving
8 + 26x + 225x2 = 0

Solving for variable 'x'.

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

Divide each side by '225'.
0.03555555556 + 0.1155555556x + x2 = 0

Move the constant term to the right:

Add '-0.03555555556' to each side of the equation.
0.03555555556 + 0.1155555556x + -0.03555555556 + x2 = 0 + -0.03555555556

Reorder the terms:
0.03555555556 + -0.03555555556 + 0.1155555556x + x2 = 0 + -0.03555555556

Combine like terms: 0.03555555556 + -0.03555555556 = 0.00000000000
0.00000000000 + 0.1155555556x + x2 = 0 + -0.03555555556
0.1155555556x + x2 = 0 + -0.03555555556

Combine like terms: 0 + -0.03555555556 = -0.03555555556
0.1155555556x + x2 = -0.03555555556

The x term is 0.1155555556x.  Take half its coefficient (0.0577777778).
Square it (0.003338271608) and add it to both sides.

Add '0.003338271608' to each side of the equation.
0.1155555556x + 0.003338271608 + x2 = -0.03555555556 + 0.003338271608

Reorder the terms:
0.003338271608 + 0.1155555556x + x2 = -0.03555555556 + 0.003338271608

Combine like terms: -0.03555555556 + 0.003338271608 = -0.032217283952
0.003338271608 + 0.1155555556x + x2 = -0.032217283952

Factor a perfect square on the left side:
(x + 0.0577777778)(x + 0.0577777778) = -0.032217283952

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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