K(x+2)(x+7)=0

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Solution for K(x+2)(x+7)=0 equation: 


Simplifying
K(x + 2)(x + 7) = 0

Reorder the terms:
K(2 + x)(x + 7) = 0

Reorder the terms:
K(2 + x)(7 + x) = 0

Multiply (2 + x) * (7 + x)
K(2(7 + x) + x(7 + x)) = 0
K((7 * 2 + x * 2) + x(7 + x)) = 0
K((14 + 2x) + x(7 + x)) = 0
K(14 + 2x + (7 * x + x * x)) = 0
K(14 + 2x + (7x + x2)) = 0

Combine like terms: 2x + 7x = 9x
K(14 + 9x + x2) = 0
(14 * K + 9x * K + x2 * K) = 0
(14K + 9xK + x2K) = 0

Solving
14K + 9xK + x2K = 0

Solving for variable 'K'.

Move all terms containing K to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'K'.
K(14 + 9x + x2) = 0

Factor a trinomial.
K((7 + x)(2 + x)) = 0


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 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Add '-1x' to each side of the equation.
x + -1x = -7 + -1x

Combine like terms: x + -1x = 0
0 = -7 + -1x

Simplifying
0 = -7 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Add '-1x' to each side of the equation.
x + -1x = -2 + -1x

Combine like terms: x + -1x = 0
0 = -2 + -1x

Simplifying
0 = -2 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
K = {0}

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