17k^2-6k+3=3

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Solution for 17k^2-6k+3=3 equation:


Simplifying
17k2 + -6k + 3 = 3

Reorder the terms:
3 + -6k + 17k2 = 3

Add '-3' to each side of the equation.
3 + -6k + -3 + 17k2 = 3 + -3

Reorder the terms:
3 + -3 + -6k + 17k2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -6k + 17k2 = 3 + -3
-6k + 17k2 = 3 + -3

Combine like terms: 3 + -3 = 0
-6k + 17k2 = 0

Solving
-6k + 17k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-6 + 17k) = 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 '(-6 + 17k)' equal to zero and attempt to solve: Simplifying -6 + 17k = 0 Solving -6 + 17k = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 17k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 17k = 0 + 6 17k = 0 + 6 Combine like terms: 0 + 6 = 6 17k = 6 Divide each side by '17'. k = 0.3529411765 Simplifying k = 0.3529411765

Solution

k = {0, 0.3529411765}

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