2k^2-8k+16=8

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Solution for 2k^2-8k+16=8 equation:


Simplifying
2k2 + -8k + 16 = 8

Reorder the terms:
16 + -8k + 2k2 = 8

Solving
16 + -8k + 2k2 = 8

Solving for variable 'k'.

Reorder the terms:
16 + -8 + -8k + 2k2 = 8 + -8

Combine like terms: 16 + -8 = 8
8 + -8k + 2k2 = 8 + -8

Combine like terms: 8 + -8 = 0
8 + -8k + 2k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -4k + k2) = 0

Factor a trinomial.
2((2 + -1k)(2 + -1k)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2

Subproblem 2

Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2

Solution

k = {2, 2}

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