k(-6)=(x-3)(3x+4)

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Solution for k(-6)=(x-3)(3x+4) equation: 


Simplifying
k(-6) = (x + -3)(3x + 4)

Reorder the terms for easier multiplication:
-6k = (x + -3)(3x + 4)

Reorder the terms:
-6k = (-3 + x)(3x + 4)

Reorder the terms:
-6k = (-3 + x)(4 + 3x)

Multiply (-3 + x) * (4 + 3x)
-6k = (-3(4 + 3x) + x(4 + 3x))
-6k = ((4 * -3 + 3x * -3) + x(4 + 3x))
-6k = ((-12 + -9x) + x(4 + 3x))
-6k = (-12 + -9x + (4 * x + 3x * x))
-6k = (-12 + -9x + (4x + 3x2))

Combine like terms: -9x + 4x = -5x
-6k = (-12 + -5x + 3x2)

Solving
-6k = -12 + -5x + 3x2

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Divide each side by '-6'.
k = 2 + 0.8333333333x + -0.5x2

Simplifying
k = 2 + 0.8333333333x + -0.5x2

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