k^2(4k-9)=0

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Solution for k^2(4k-9)=0 equation: 


Simplifying
k2(4k + -9) = 0

Reorder the terms:
k2(-9 + 4k) = 0
(-9 * k2 + 4k * k2) = 0
(-9k2 + 4k3) = 0

Solving
-9k2 + 4k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k2'.
k2(-9 + 4k) = 0


Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve:

Simplifying
k2 = 0

Solving
k2 = 0

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

Simplifying
k2 = 0

Take the square root of each side:
k = {0}

Subproblem 2
Set the factor '(-9 + 4k)' equal to zero and attempt to solve:

Simplifying
-9 + 4k = 0

Solving
-9 + 4k = 0

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

Add '9' to each side of the equation.
-9 + 9 + 4k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4k = 0 + 9
4k = 0 + 9

Combine like terms: 0 + 9 = 9
4k = 9

Divide each side by '4'.
k = 2.25

Simplifying
k = 2.25
Solution
k = {0, 2.25}

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