5x^2+16-3=5-2x

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Solution for 5x^2+16-3=5-2x equation: 


Simplifying
5x2 + 16 + -3 = 5 + -2x

Reorder the terms:
16 + -3 + 5x2 = 5 + -2x

Combine like terms: 16 + -3 = 13
13 + 5x2 = 5 + -2x

Solving
13 + 5x2 = 5 + -2x

Solving for variable 'x'.

Reorder the terms:
13 + -5 + 2x + 5x2 = 5 + -2x + -5 + 2x

Combine like terms: 13 + -5 = 8
8 + 2x + 5x2 = 5 + -2x + -5 + 2x

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

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

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

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

Divide each side by '5'.
1.6 + 0.4x + x2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + 0.4x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + 0.4x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.4x + x2 = 0 + -1.6
0.4x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
0.4x + x2 = -1.6

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = -1.6 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = -1.6 + 0.04

Combine like terms: -1.6 + 0.04 = -1.56
0.04 + 0.4x + x2 = -1.56

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = -1.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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