2k(4k+7)=0

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Solution for 2k(4k+7)=0 equation: 


Simplifying
2k(4k + 7) = 0

Reorder the terms:
2k(7 + 4k) = 0
(7 * 2k + 4k * 2k) = 0
(14k + 8k2) = 0

Solving
14k + 8k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2k'.
2k(7 + 4k) = 0

Ignore the factor 2.

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 '(7 + 4k)' equal to zero and attempt to solve:

Simplifying
7 + 4k = 0

Solving
7 + 4k = 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 + 4k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4k = 0 + -7
4k = 0 + -7

Combine like terms: 0 + -7 = -7
4k = -7

Divide each side by '4'.
k = -1.75

Simplifying
k = -1.75
Solution
k = {0, -1.75}

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