4k^2+64k+252=0

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Solution for 4k^2+64k+252=0 equation:


Simplifying
4k2 + 64k + 252 = 0

Reorder the terms:
252 + 64k + 4k2 = 0

Solving
252 + 64k + 4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(63 + 16k + k2) = 0

Factor a trinomial.
4((9 + k)(7 + k)) = 0

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 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 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7

Solution

k = {-9, -7}

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