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

Reorder the terms:
x2 = (10kx + 2x) + -8(3k + 5)
x2 = (10kx + 2x) + -8(3k + 5)

Reorder the terms:
x2 = 10kx + 2x + -8(5 + 3k)
x2 = 10kx + 2x + (5 * -8 + 3k * -8)
x2 = 10kx + 2x + (-40 + -24k)

Reorder the terms:
x2 = -40 + -24k + 10kx + 2x

Solving
x2 = -40 + -24k + 10kx + 2x

Solving for variable 'x'.

Reorder the terms:
40 + 24k + -10kx + -2x + x2 = -40 + -24k + 10kx + 2x + 40 + 24k + -10kx + -2x

Reorder the terms:
40 + 24k + -10kx + -2x + x2 = -40 + 40 + -24k + 24k + 10kx + -10kx + 2x + -2x

Combine like terms: -40 + 40 = 0
40 + 24k + -10kx + -2x + x2 = 0 + -24k + 24k + 10kx + -10kx + 2x + -2x
40 + 24k + -10kx + -2x + x2 = -24k + 24k + 10kx + -10kx + 2x + -2x

Combine like terms: -24k + 24k = 0
40 + 24k + -10kx + -2x + x2 = 0 + 10kx + -10kx + 2x + -2x
40 + 24k + -10kx + -2x + x2 = 10kx + -10kx + 2x + -2x

Combine like terms: 10kx + -10kx = 0
40 + 24k + -10kx + -2x + x2 = 0 + 2x + -2x
40 + 24k + -10kx + -2x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
40 + 24k + -10kx + -2x + x2 = 0

The solution to this equation could not be determined.

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