10k^2-76k-126=0

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Solution for 10k^2-76k-126=0 equation:


Simplifying
10k2 + -76k + -126 = 0

Reorder the terms:
-126 + -76k + 10k2 = 0

Solving
-126 + -76k + 10k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-63 + -38k + 5k2) = 0

Factor a trinomial.
2((-7 + -5k)(9 + -1k)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + -5k)' equal to zero and attempt to solve: Simplifying -7 + -5k = 0 Solving -7 + -5k = 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 + -5k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5k = 0 + 7 -5k = 0 + 7 Combine like terms: 0 + 7 = 7 -5k = 7 Divide each side by '-5'. k = -1.4 Simplifying k = -1.4

Subproblem 2

Set the factor '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 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 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9

Solution

k = {-1.4, 9}

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