(x+2k)(x-3k)=x^2+2x-24

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Solution for (x+2k)(x-3k)=x^2+2x-24 equation:


Simplifying
(x + 2k)(x + -3k) = x2 + 2x + -24

Reorder the terms:
(2k + x)(x + -3k) = x2 + 2x + -24

Reorder the terms:
(2k + x)(-3k + x) = x2 + 2x + -24

Multiply (2k + x) * (-3k + x)
(2k * (-3k + x) + x(-3k + x)) = x2 + 2x + -24
((-3k * 2k + x * 2k) + x(-3k + x)) = x2 + 2x + -24

Reorder the terms:
((2kx + -6k2) + x(-3k + x)) = x2 + 2x + -24
((2kx + -6k2) + x(-3k + x)) = x2 + 2x + -24
(2kx + -6k2 + (-3k * x + x * x)) = x2 + 2x + -24
(2kx + -6k2 + (-3kx + x2)) = x2 + 2x + -24

Reorder the terms:
(2kx + -3kx + -6k2 + x2) = x2 + 2x + -24

Combine like terms: 2kx + -3kx = -1kx
(-1kx + -6k2 + x2) = x2 + 2x + -24

Reorder the terms:
-1kx + -6k2 + x2 = -24 + 2x + x2

Add '-1x2' to each side of the equation.
-1kx + -6k2 + x2 + -1x2 = -24 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1kx + -6k2 + 0 = -24 + 2x + x2 + -1x2
-1kx + -6k2 = -24 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1kx + -6k2 = -24 + 2x + 0
-1kx + -6k2 = -24 + 2x

Solving
-1kx + -6k2 = -24 + 2x

Solving for variable 'k'.

Reorder the terms:
24 + -1kx + -6k2 + -2x = -24 + 2x + 24 + -2x

Reorder the terms:
24 + -1kx + -6k2 + -2x = -24 + 24 + 2x + -2x

Combine like terms: -24 + 24 = 0
24 + -1kx + -6k2 + -2x = 0 + 2x + -2x
24 + -1kx + -6k2 + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
24 + -1kx + -6k2 + -2x = 0

The solution to this equation could not be determined.

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