(2x+k)(x-2k)=2x^2+9x-18

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Solution for (2x+k)(x-2k)=2x^2+9x-18 equation: 


Simplifying
(2x + k)(x + -2k) = 2x2 + 9x + -18

Reorder the terms:
(k + 2x)(x + -2k) = 2x2 + 9x + -18

Reorder the terms:
(k + 2x)(-2k + x) = 2x2 + 9x + -18

Multiply (k + 2x) * (-2k + x)
(k(-2k + x) + 2x * (-2k + x)) = 2x2 + 9x + -18
((-2k * k + x * k) + 2x * (-2k + x)) = 2x2 + 9x + -18

Reorder the terms:
((kx + -2k2) + 2x * (-2k + x)) = 2x2 + 9x + -18
((kx + -2k2) + 2x * (-2k + x)) = 2x2 + 9x + -18
(kx + -2k2 + (-2k * 2x + x * 2x)) = 2x2 + 9x + -18
(kx + -2k2 + (-4kx + 2x2)) = 2x2 + 9x + -18

Reorder the terms:
(kx + -4kx + -2k2 + 2x2) = 2x2 + 9x + -18

Combine like terms: kx + -4kx = -3kx
(-3kx + -2k2 + 2x2) = 2x2 + 9x + -18

Reorder the terms:
-3kx + -2k2 + 2x2 = -18 + 9x + 2x2

Add '-2x2' to each side of the equation.
-3kx + -2k2 + 2x2 + -2x2 = -18 + 9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3kx + -2k2 + 0 = -18 + 9x + 2x2 + -2x2
-3kx + -2k2 = -18 + 9x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3kx + -2k2 = -18 + 9x + 0
-3kx + -2k2 = -18 + 9x

Solving
-3kx + -2k2 = -18 + 9x

Solving for variable 'k'.

Reorder the terms:
18 + -3kx + -2k2 + -9x = -18 + 9x + 18 + -9x

Reorder the terms:
18 + -3kx + -2k2 + -9x = -18 + 18 + 9x + -9x

Combine like terms: -18 + 18 = 0
18 + -3kx + -2k2 + -9x = 0 + 9x + -9x
18 + -3kx + -2k2 + -9x = 9x + -9x

Combine like terms: 9x + -9x = 0
18 + -3kx + -2k2 + -9x = 0

The solution to this equation could not be determined.

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