2x^2+3.5x+2=0

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Solution for 2x^2+3.5x+2=0 equation:


Simplifying
2x2 + 3.5x + 2 = 0

Reorder the terms:
2 + 3.5x + 2x2 = 0

Solving
2 + 3.5x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
1 + 1.75x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.75x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 1.75x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.75x + x2 = 0 + -1
1.75x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.75x + x2 = -1

The x term is 1.75x.  Take half its coefficient (0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
1.75x + 0.765625 + x2 = -1 + 0.765625

Reorder the terms:
0.765625 + 1.75x + x2 = -1 + 0.765625

Combine like terms: -1 + 0.765625 = -0.234375
0.765625 + 1.75x + x2 = -0.234375

Factor a perfect square on the left side:
(x + 0.875)(x + 0.875) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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