F(x)=2(x^2-9x+5)-5(x-k)

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Solution for F(x)=2(x^2-9x+5)-5(x-k) equation: 


Simplifying
F(x) = 2(x2 + -9x + 5) + -5(x + -1k)

Multiply F * x
xF = 2(x2 + -9x + 5) + -5(x + -1k)

Reorder the terms:
xF = 2(5 + -9x + x2) + -5(x + -1k)
xF = (5 * 2 + -9x * 2 + x2 * 2) + -5(x + -1k)
xF = (10 + -18x + 2x2) + -5(x + -1k)

Reorder the terms:
xF = 10 + -18x + 2x2 + -5(-1k + x)
xF = 10 + -18x + 2x2 + (-1k * -5 + x * -5)
xF = 10 + -18x + 2x2 + (5k + -5x)

Reorder the terms:
xF = 10 + 5k + -18x + -5x + 2x2

Combine like terms: -18x + -5x = -23x
xF = 10 + 5k + -23x + 2x2

Solving
xF = 10 + 5k + -23x + 2x2

Solving for variable 'x'.

Reorder the terms:
-10 + -5k + 23x + xF + -2x2 = 10 + 5k + -23x + 2x2 + -10 + -5k + 23x + -2x2

Reorder the terms:
-10 + -5k + 23x + xF + -2x2 = 10 + -10 + 5k + -5k + -23x + 23x + 2x2 + -2x2

Combine like terms: 10 + -10 = 0
-10 + -5k + 23x + xF + -2x2 = 0 + 5k + -5k + -23x + 23x + 2x2 + -2x2
-10 + -5k + 23x + xF + -2x2 = 5k + -5k + -23x + 23x + 2x2 + -2x2

Combine like terms: 5k + -5k = 0
-10 + -5k + 23x + xF + -2x2 = 0 + -23x + 23x + 2x2 + -2x2
-10 + -5k + 23x + xF + -2x2 = -23x + 23x + 2x2 + -2x2

Combine like terms: -23x + 23x = 0
-10 + -5k + 23x + xF + -2x2 = 0 + 2x2 + -2x2
-10 + -5k + 23x + xF + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-10 + -5k + 23x + xF + -2x2 = 0

The solution to this equation could not be determined.

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