x^2=2x+(5k+1)-8(3k+5)

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Solution for x^2=2x+(5k+1)-8(3k+5) equation: 


Simplifying
x2 = 2x + (5k + 1) + -8(3k + 5)

Reorder the terms:
x2 = 2x + (1 + 5k) + -8(3k + 5)

Remove parenthesis around (1 + 5k)
x2 = 2x + 1 + 5k + -8(3k + 5)

Reorder the terms:
x2 = 2x + 1 + 5k + -8(5 + 3k)
x2 = 2x + 1 + 5k + (5 * -8 + 3k * -8)
x2 = 2x + 1 + 5k + (-40 + -24k)

Reorder the terms:
x2 = 1 + -40 + 5k + -24k + 2x

Combine like terms: 1 + -40 = -39
x2 = -39 + 5k + -24k + 2x

Combine like terms: 5k + -24k = -19k
x2 = -39 + -19k + 2x

Solving
x2 = -39 + -19k + 2x

Solving for variable 'x'.

Reorder the terms:
39 + 19k + -2x + x2 = -39 + -19k + 2x + 39 + 19k + -2x

Reorder the terms:
39 + 19k + -2x + x2 = -39 + 39 + -19k + 19k + 2x + -2x

Combine like terms: -39 + 39 = 0
39 + 19k + -2x + x2 = 0 + -19k + 19k + 2x + -2x
39 + 19k + -2x + x2 = -19k + 19k + 2x + -2x

Combine like terms: -19k + 19k = 0
39 + 19k + -2x + x2 = 0 + 2x + -2x
39 + 19k + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
39 + 19k + -2x + x2 = 0

The solution to this equation could not be determined.

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