(U-3)(u+6)=u^2+3u-18

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Solution for (U-3)(u+6)=u^2+3u-18 equation: 


Simplifying
(U + -3)(u + 6) = u2 + 3u + -18

Reorder the terms:
(-3 + U)(u + 6) = u2 + 3u + -18

Reorder the terms:
(-3 + U)(6 + u) = u2 + 3u + -18

Multiply (-3 + U) * (6 + u)
(-3(6 + u) + U(6 + u)) = u2 + 3u + -18
((6 * -3 + u * -3) + U(6 + u)) = u2 + 3u + -18
((-18 + -3u) + U(6 + u)) = u2 + 3u + -18
(-18 + -3u + (6 * U + u * U)) = u2 + 3u + -18
(-18 + -3u + (6U + uU)) = u2 + 3u + -18

Reorder the terms:
(-18 + 6U + -3u + uU) = u2 + 3u + -18
(-18 + 6U + -3u + uU) = u2 + 3u + -18

Reorder the terms:
-18 + 6U + -3u + uU = -18 + 3u + u2

Add '18' to each side of the equation.
-18 + 6U + -3u + 18 + uU = -18 + 3u + 18 + u2

Reorder the terms:
-18 + 18 + 6U + -3u + uU = -18 + 3u + 18 + u2

Combine like terms: -18 + 18 = 0
0 + 6U + -3u + uU = -18 + 3u + 18 + u2
6U + -3u + uU = -18 + 3u + 18 + u2

Reorder the terms:
6U + -3u + uU = -18 + 18 + 3u + u2

Combine like terms: -18 + 18 = 0
6U + -3u + uU = 0 + 3u + u2
6U + -3u + uU = 3u + u2

Solving
6U + -3u + uU = 3u + u2

Solving for variable 'U'.

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

Add '3u' to each side of the equation.
6U + -3u + 3u + uU = 3u + 3u + u2

Combine like terms: -3u + 3u = 0
6U + 0 + uU = 3u + 3u + u2
6U + uU = 3u + 3u + u2

Combine like terms: 3u + 3u = 6u
6U + uU = 6u + u2

Reorder the terms:
6U + -6u + uU + -1u2 = 6u + u2 + -6u + -1u2

Reorder the terms:
6U + -6u + uU + -1u2 = 6u + -6u + u2 + -1u2

Combine like terms: 6u + -6u = 0
6U + -6u + uU + -1u2 = 0 + u2 + -1u2
6U + -6u + uU + -1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
6U + -6u + uU + -1u2 = 0

The solution to this equation could not be determined.

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