(2x+3)(x-6)=(2k+3)(k-6)

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Solution for (2x+3)(x-6)=(2k+3)(k-6) equation: 


Simplifying
(2x + 3)(x + -6) = (2k + 3)(k + -6)

Reorder the terms:
(3 + 2x)(x + -6) = (2k + 3)(k + -6)

Reorder the terms:
(3 + 2x)(-6 + x) = (2k + 3)(k + -6)

Multiply (3 + 2x) * (-6 + x)
(3(-6 + x) + 2x * (-6 + x)) = (2k + 3)(k + -6)
((-6 * 3 + x * 3) + 2x * (-6 + x)) = (2k + 3)(k + -6)
((-18 + 3x) + 2x * (-6 + x)) = (2k + 3)(k + -6)
(-18 + 3x + (-6 * 2x + x * 2x)) = (2k + 3)(k + -6)
(-18 + 3x + (-12x + 2x2)) = (2k + 3)(k + -6)

Combine like terms: 3x + -12x = -9x
(-18 + -9x + 2x2) = (2k + 3)(k + -6)

Reorder the terms:
-18 + -9x + 2x2 = (3 + 2k)(k + -6)

Reorder the terms:
-18 + -9x + 2x2 = (3 + 2k)(-6 + k)

Multiply (3 + 2k) * (-6 + k)
-18 + -9x + 2x2 = (3(-6 + k) + 2k * (-6 + k))
-18 + -9x + 2x2 = ((-6 * 3 + k * 3) + 2k * (-6 + k))
-18 + -9x + 2x2 = ((-18 + 3k) + 2k * (-6 + k))
-18 + -9x + 2x2 = (-18 + 3k + (-6 * 2k + k * 2k))
-18 + -9x + 2x2 = (-18 + 3k + (-12k + 2k2))

Combine like terms: 3k + -12k = -9k
-18 + -9x + 2x2 = (-18 + -9k + 2k2)

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

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

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

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

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

Solving
-9x + 2x2 = -9k + 2k2

Solving for variable 'x'.

Reorder the terms:
9k + -2k2 + -9x + 2x2 = -9k + 2k2 + 9k + -2k2

Reorder the terms:
9k + -2k2 + -9x + 2x2 = -9k + 9k + 2k2 + -2k2

Combine like terms: -9k + 9k = 0
9k + -2k2 + -9x + 2x2 = 0 + 2k2 + -2k2
9k + -2k2 + -9x + 2x2 = 2k2 + -2k2

Combine like terms: 2k2 + -2k2 = 0
9k + -2k2 + -9x + 2x2 = 0

The solution to this equation could not be determined.

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