5x^2+10x+20=1

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Solution for 5x^2+10x+20=1 equation:


Simplifying
5x2 + 10x + 20 = 1

Reorder the terms:
20 + 10x + 5x2 = 1

Solving
20 + 10x + 5x2 = 1

Solving for variable 'x'.

Reorder the terms:
20 + -1 + 10x + 5x2 = 1 + -1

Combine like terms: 20 + -1 = 19
19 + 10x + 5x2 = 1 + -1

Combine like terms: 1 + -1 = 0
19 + 10x + 5x2 = 0

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

Divide each side by '5'.
3.8 + 2x + x2 = 0

Move the constant term to the right:

Add '-3.8' to each side of the equation.
3.8 + 2x + -3.8 + x2 = 0 + -3.8

Reorder the terms:
3.8 + -3.8 + 2x + x2 = 0 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + 2x + x2 = 0 + -3.8
2x + x2 = 0 + -3.8

Combine like terms: 0 + -3.8 = -3.8
2x + x2 = -3.8

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -3.8 + 1

Reorder the terms:
1 + 2x + x2 = -3.8 + 1

Combine like terms: -3.8 + 1 = -2.8
1 + 2x + x2 = -2.8

Factor a perfect square on the left side:
(x + 1)(x + 1) = -2.8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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