x-3x^2+kx-21=0

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Solution for x-3x^2+kx-21=0 equation:


Simplifying
x + -3x2 + kx + -21 = 0

Reorder the terms:
-21 + kx + x + -3x2 = 0

Solving
-21 + kx + x + -3x2 = 0

Solving for variable 'k'.

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

Add '21' to each side of the equation.
-21 + kx + x + 21 + -3x2 = 0 + 21

Reorder the terms:
-21 + 21 + kx + x + -3x2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + kx + x + -3x2 = 0 + 21
kx + x + -3x2 = 0 + 21

Combine like terms: 0 + 21 = 21
kx + x + -3x2 = 21

Add '-1x' to each side of the equation.
kx + x + -1x + -3x2 = 21 + -1x

Combine like terms: x + -1x = 0
kx + 0 + -3x2 = 21 + -1x
kx + -3x2 = 21 + -1x

Add '3x2' to each side of the equation.
kx + -3x2 + 3x2 = 21 + -1x + 3x2

Combine like terms: -3x2 + 3x2 = 0
kx + 0 = 21 + -1x + 3x2
kx = 21 + -1x + 3x2

Divide each side by 'x'.
k = 21x-1 + -1 + 3x

Simplifying
k = 21x-1 + -1 + 3x

Reorder the terms:
k = -1 + 21x-1 + 3x

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