3x^2-2x+8=x^2-5x-50

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Solution for 3x^2-2x+8=x^2-5x-50 equation: 


Simplifying
3x2 + -2x + 8 = x2 + -5x + -50

Reorder the terms:
8 + -2x + 3x2 = x2 + -5x + -50

Reorder the terms:
8 + -2x + 3x2 = -50 + -5x + x2

Solving
8 + -2x + 3x2 = -50 + -5x + x2

Solving for variable 'x'.

Reorder the terms:
8 + 50 + -2x + 5x + 3x2 + -1x2 = -50 + -5x + x2 + 50 + 5x + -1x2

Combine like terms: 8 + 50 = 58
58 + -2x + 5x + 3x2 + -1x2 = -50 + -5x + x2 + 50 + 5x + -1x2

Combine like terms: -2x + 5x = 3x
58 + 3x + 3x2 + -1x2 = -50 + -5x + x2 + 50 + 5x + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
58 + 3x + 2x2 = -50 + -5x + x2 + 50 + 5x + -1x2

Reorder the terms:
58 + 3x + 2x2 = -50 + 50 + -5x + 5x + x2 + -1x2

Combine like terms: -50 + 50 = 0
58 + 3x + 2x2 = 0 + -5x + 5x + x2 + -1x2
58 + 3x + 2x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
58 + 3x + 2x2 = 0 + x2 + -1x2
58 + 3x + 2x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
58 + 3x + 2x2 = 0

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

Divide each side by '2'.
29 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + 1.5x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + 1.5x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 1.5x + x2 = 0 + -29
1.5x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
1.5x + x2 = -29

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -29 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -29 + 0.5625

Combine like terms: -29 + 0.5625 = -28.4375
0.5625 + 1.5x + x2 = -28.4375

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = -28.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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