5x^2+10x+10=5+2x

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


Simplifying
5x2 + 10x + 10 = 5 + 2x

Reorder the terms:
10 + 10x + 5x2 = 5 + 2x

Solving
10 + 10x + 5x2 = 5 + 2x

Solving for variable 'x'.

Reorder the terms:
10 + -5 + 10x + -2x + 5x2 = 5 + 2x + -5 + -2x

Combine like terms: 10 + -5 = 5
5 + 10x + -2x + 5x2 = 5 + 2x + -5 + -2x

Combine like terms: 10x + -2x = 8x
5 + 8x + 5x2 = 5 + 2x + -5 + -2x

Reorder the terms:
5 + 8x + 5x2 = 5 + -5 + 2x + -2x

Combine like terms: 5 + -5 = 0
5 + 8x + 5x2 = 0 + 2x + -2x
5 + 8x + 5x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 8x + 5x2 = 0

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

Divide each side by '5'.
1 + 1.6x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.6x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 1.6x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.6x + x2 = 0 + -1
1.6x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.6x + x2 = -1

The x term is 1.6x.  Take half its coefficient (0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
1.6x + 0.64 + x2 = -1 + 0.64

Reorder the terms:
0.64 + 1.6x + x2 = -1 + 0.64

Combine like terms: -1 + 0.64 = -0.36
0.64 + 1.6x + x2 = -0.36

Factor a perfect square on the left side:
(x + 0.8)(x + 0.8) = -0.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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