5x^2+10x-4x+6=0

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Solution for 5x^2+10x-4x+6=0 equation:


Simplifying
5x2 + 10x + -4x + 6 = 0

Reorder the terms:
6 + 10x + -4x + 5x2 = 0

Combine like terms: 10x + -4x = 6x
6 + 6x + 5x2 = 0

Solving
6 + 6x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
1.2 + 1.2x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 1.2x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 1.2x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.2x + x2 = 0 + -1.2
1.2x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
1.2x + x2 = -1.2

The x term is 1.2x.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2x + 0.36 + x2 = -1.2 + 0.36

Reorder the terms:
0.36 + 1.2x + x2 = -1.2 + 0.36

Combine like terms: -1.2 + 0.36 = -0.84
0.36 + 1.2x + x2 = -0.84

Factor a perfect square on the left side:
(x + 0.6)(x + 0.6) = -0.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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