(2x*2x)+5x+3=0

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Solution for (2x*2x)+5x+3=0 equation:


Simplifying
(2x * 2x) + 5x + 3 = 0

Reorder the terms for easier multiplication:
(2 * 2x * x) + 5x + 3 = 0

Multiply 2 * 2
(4x * x) + 5x + 3 = 0

Multiply x * x
(4x2) + 5x + 3 = 0

Reorder the terms:
3 + 5x + (4x2) = 0

Solving
3 + 5x + (4x2) = 0

Solving for variable 'x'.

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

Divide each side by '4'.
0.75 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 1.25x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 1.25x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 1.25x + x2 = 0 + -0.75
1.25x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
1.25x + x2 = -0.75

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 = -0.75 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -0.75 + 0.390625

Combine like terms: -0.75 + 0.390625 = -0.359375
0.390625 + 1.25x + x2 = -0.359375

Factor a perfect square on the left side:
((x) + 0.625)((x) + 0.625) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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