3x^3+kx^2-60x+12=42

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Solution for 3x^3+kx^2-60x+12=42 equation: 


Simplifying
3x3 + kx2 + -60x + 12 = 42

Reorder the terms:
12 + kx2 + -60x + 3x3 = 42

Solving
12 + kx2 + -60x + 3x3 = 42

Solving for variable 'k'.

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

Add '-12' to each side of the equation.
12 + kx2 + -60x + -12 + 3x3 = 42 + -12

Reorder the terms:
12 + -12 + kx2 + -60x + 3x3 = 42 + -12

Combine like terms: 12 + -12 = 0
0 + kx2 + -60x + 3x3 = 42 + -12
kx2 + -60x + 3x3 = 42 + -12

Combine like terms: 42 + -12 = 30
kx2 + -60x + 3x3 = 30

Add '60x' to each side of the equation.
kx2 + -60x + 60x + 3x3 = 30 + 60x

Combine like terms: -60x + 60x = 0
kx2 + 0 + 3x3 = 30 + 60x
kx2 + 3x3 = 30 + 60x

Add '-3x3' to each side of the equation.
kx2 + 3x3 + -3x3 = 30 + 60x + -3x3

Combine like terms: 3x3 + -3x3 = 0
kx2 + 0 = 30 + 60x + -3x3
kx2 = 30 + 60x + -3x3

Divide each side by 'x2'.
k = 30x-2 + 60x-1 + -3x

Simplifying
k = 30x-2 + 60x-1 + -3x

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