7.6x^2+124x+1600=0

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Solution for 7.6x^2+124x+1600=0 equation:


Simplifying
7.6x2 + 124x + 1600 = 0

Reorder the terms:
1600 + 124x + 7.6x2 = 0

Solving
1600 + 124x + 7.6x2 = 0

Solving for variable 'x'.

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

Divide each side by '7.6'.
210.5263158 + 16.31578947x + x2 = 0

Move the constant term to the right:

Add '-210.5263158' to each side of the equation.
210.5263158 + 16.31578947x + -210.5263158 + x2 = 0 + -210.5263158

Reorder the terms:
210.5263158 + -210.5263158 + 16.31578947x + x2 = 0 + -210.5263158

Combine like terms: 210.5263158 + -210.5263158 = 0.0000000
0.0000000 + 16.31578947x + x2 = 0 + -210.5263158
16.31578947x + x2 = 0 + -210.5263158

Combine like terms: 0 + -210.5263158 = -210.5263158
16.31578947x + x2 = -210.5263158

The x term is 16.31578947x.  Take half its coefficient (8.157894735).
Square it (66.55124651) and add it to both sides.

Add '66.55124651' to each side of the equation.
16.31578947x + 66.55124651 + x2 = -210.5263158 + 66.55124651

Reorder the terms:
66.55124651 + 16.31578947x + x2 = -210.5263158 + 66.55124651

Combine like terms: -210.5263158 + 66.55124651 = -143.97506929
66.55124651 + 16.31578947x + x2 = -143.97506929

Factor a perfect square on the left side:
(x + 8.157894735)(x + 8.157894735) = -143.97506929

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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