(K+4)(k+7)=k*k+28

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Solution for (K+4)(k+7)=k*k+28 equation: 


Simplifying
(K + 4)(k + 7) = k * k + 28

Reorder the terms:
(4 + K)(k + 7) = k * k + 28

Reorder the terms:
(4 + K)(7 + k) = k * k + 28

Multiply (4 + K) * (7 + k)
(4(7 + k) + K(7 + k)) = k * k + 28
((7 * 4 + k * 4) + K(7 + k)) = k * k + 28
((28 + 4k) + K(7 + k)) = k * k + 28
(28 + 4k + (7 * K + k * K)) = k * k + 28
(28 + 4k + (7K + kK)) = k * k + 28

Reorder the terms:
(28 + 7K + 4k + kK) = k * k + 28
(28 + 7K + 4k + kK) = k * k + 28

Multiply k * k
28 + 7K + 4k + kK = k2 + 28

Reorder the terms:
28 + 7K + 4k + kK = 28 + k2

Add '-28' to each side of the equation.
28 + 7K + 4k + -28 + kK = 28 + -28 + k2

Reorder the terms:
28 + -28 + 7K + 4k + kK = 28 + -28 + k2

Combine like terms: 28 + -28 = 0
0 + 7K + 4k + kK = 28 + -28 + k2
7K + 4k + kK = 28 + -28 + k2

Combine like terms: 28 + -28 = 0
7K + 4k + kK = 0 + k2
7K + 4k + kK = k2

Solving
7K + 4k + kK = k2

Solving for variable 'K'.

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

Add '-4k' to each side of the equation.
7K + 4k + -4k + kK = -4k + k2

Combine like terms: 4k + -4k = 0
7K + 0 + kK = -4k + k2
7K + kK = -4k + k2

Reorder the terms:
7K + 4k + kK + -1k2 = -4k + k2 + 4k + -1k2

Reorder the terms:
7K + 4k + kK + -1k2 = -4k + 4k + k2 + -1k2

Combine like terms: -4k + 4k = 0
7K + 4k + kK + -1k2 = 0 + k2 + -1k2
7K + 4k + kK + -1k2 = k2 + -1k2

Combine like terms: k2 + -1k2 = 0
7K + 4k + kK + -1k2 = 0

The solution to this equation could not be determined.

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