5x^2=2x-8

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Solution for 5x^2=2x-8 equation:


Simplifying
5x2 = 2x + -8

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

Solving
5x2 = -8 + 2x

Solving for variable 'x'.

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

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

Combine like terms: -8 + 8 = 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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