2k^2-4k-70=

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Solution for 2k^2-4k-70= equation:


Simplifying
2k2 + -4k + -70 = 0

Reorder the terms:
-70 + -4k + 2k2 = 0

Solving
-70 + -4k + 2k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + -2k + k2) = 0

Factor a trinomial.
2((-5 + -1k)(7 + -1k)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1k)' equal to zero and attempt to solve: Simplifying -5 + -1k = 0 Solving -5 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = 0 + 5 -1k = 0 + 5 Combine like terms: 0 + 5 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5

Subproblem 2

Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7

Solution

k = {-5, 7}

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