8x^2+10x+21=0

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Solution for 8x^2+10x+21=0 equation:


Simplifying
8x2 + 10x + 21 = 0

Reorder the terms:
21 + 10x + 8x2 = 0

Solving
21 + 10x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
2.625 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-2.625' to each side of the equation.
2.625 + 1.25x + -2.625 + x2 = 0 + -2.625

Reorder the terms:
2.625 + -2.625 + 1.25x + x2 = 0 + -2.625

Combine like terms: 2.625 + -2.625 = 0.000
0.000 + 1.25x + x2 = 0 + -2.625
1.25x + x2 = 0 + -2.625

Combine like terms: 0 + -2.625 = -2.625
1.25x + x2 = -2.625

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -2.625 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -2.625 + 0.390625

Combine like terms: -2.625 + 0.390625 = -2.234375
0.390625 + 1.25x + x2 = -2.234375

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -2.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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