x=3(x^2+10x+5)-5(x-k)

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Solution for x=3(x^2+10x+5)-5(x-k) equation:


Simplifying
x = 3(x2 + 10x + 5) + -5(x + -1k)

Reorder the terms:
x = 3(5 + 10x + x2) + -5(x + -1k)
x = (5 * 3 + 10x * 3 + x2 * 3) + -5(x + -1k)
x = (15 + 30x + 3x2) + -5(x + -1k)

Reorder the terms:
x = 15 + 30x + 3x2 + -5(-1k + x)
x = 15 + 30x + 3x2 + (-1k * -5 + x * -5)
x = 15 + 30x + 3x2 + (5k + -5x)

Reorder the terms:
x = 15 + 5k + 30x + -5x + 3x2

Combine like terms: 30x + -5x = 25x
x = 15 + 5k + 25x + 3x2

Solving
x = 15 + 5k + 25x + 3x2

Solving for variable 'x'.

Reorder the terms:
-15 + -5k + x + -25x + -3x2 = 15 + 5k + 25x + 3x2 + -15 + -5k + -25x + -3x2

Combine like terms: x + -25x = -24x
-15 + -5k + -24x + -3x2 = 15 + 5k + 25x + 3x2 + -15 + -5k + -25x + -3x2

Reorder the terms:
-15 + -5k + -24x + -3x2 = 15 + -15 + 5k + -5k + 25x + -25x + 3x2 + -3x2

Combine like terms: 15 + -15 = 0
-15 + -5k + -24x + -3x2 = 0 + 5k + -5k + 25x + -25x + 3x2 + -3x2
-15 + -5k + -24x + -3x2 = 5k + -5k + 25x + -25x + 3x2 + -3x2

Combine like terms: 5k + -5k = 0
-15 + -5k + -24x + -3x2 = 0 + 25x + -25x + 3x2 + -3x2
-15 + -5k + -24x + -3x2 = 25x + -25x + 3x2 + -3x2

Combine like terms: 25x + -25x = 0
-15 + -5k + -24x + -3x2 = 0 + 3x2 + -3x2
-15 + -5k + -24x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-15 + -5k + -24x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + 5k + 24x + 3x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(15 + 5k + 24x + 3x2)' equal to zero and attempt to solve: Simplifying 15 + 5k + 24x + 3x2 = 0 Solving 15 + 5k + 24x + 3x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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