15x^2+3x+20=0

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Solution for 15x^2+3x+20=0 equation:


Simplifying
15x2 + 3x + 20 = 0

Reorder the terms:
20 + 3x + 15x2 = 0

Solving
20 + 3x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
1.333333333 + 0.2x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 0.2x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 0.2x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 0.2x + x2 = 0 + -1.333333333
0.2x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
0.2x + x2 = -1.333333333

The x term is 0.2x.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2x + 0.01 + x2 = -1.333333333 + 0.01

Reorder the terms:
0.01 + 0.2x + x2 = -1.333333333 + 0.01

Combine like terms: -1.333333333 + 0.01 = -1.323333333
0.01 + 0.2x + x2 = -1.323333333

Factor a perfect square on the left side:
(x + 0.1)(x + 0.1) = -1.323333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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