9kx^2+6kx+k^2=

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Solution for 9kx^2+6kx+k^2= equation:


Simplifying
9kx2 + 6kx + k2 = 0

Reorder the terms:
6kx + 9kx2 + k2 = 0

Solving
6kx + 9kx2 + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(6x + 9x2 + k) = 0

Subproblem 1

Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0

Subproblem 2

Set the factor '(6x + 9x2 + k)' equal to zero and attempt to solve: Simplifying 6x + 9x2 + k = 0 Reorder the terms: k + 6x + 9x2 = 0 Solving k + 6x + 9x2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-6x' to each side of the equation. k + 6x + -6x + 9x2 = 0 + -6x Combine like terms: 6x + -6x = 0 k + 0 + 9x2 = 0 + -6x k + 9x2 = 0 + -6x Remove the zero: k + 9x2 = -6x Add '-9x2' to each side of the equation. k + 9x2 + -9x2 = -6x + -9x2 Combine like terms: 9x2 + -9x2 = 0 k + 0 = -6x + -9x2 k = -6x + -9x2 Simplifying k = -6x + -9x2

Solution

k = {0, -6x + -9x2}

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