u^2+2u-8=u^2+3u-18

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Solution for u^2+2u-8=u^2+3u-18 equation:


Simplifying
u2 + 2u + -8 = u2 + 3u + -18

Reorder the terms:
-8 + 2u + u2 = u2 + 3u + -18

Reorder the terms:
-8 + 2u + u2 = -18 + 3u + u2

Add '-1u2' to each side of the equation.
-8 + 2u + u2 + -1u2 = -18 + 3u + u2 + -1u2

Combine like terms: u2 + -1u2 = 0
-8 + 2u + 0 = -18 + 3u + u2 + -1u2
-8 + 2u = -18 + 3u + u2 + -1u2

Combine like terms: u2 + -1u2 = 0
-8 + 2u = -18 + 3u + 0
-8 + 2u = -18 + 3u

Solving
-8 + 2u = -18 + 3u

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.
-8 + 2u + -3u = -18 + 3u + -3u

Combine like terms: 2u + -3u = -1u
-8 + -1u = -18 + 3u + -3u

Combine like terms: 3u + -3u = 0
-8 + -1u = -18 + 0
-8 + -1u = -18

Add '8' to each side of the equation.
-8 + 8 + -1u = -18 + 8

Combine like terms: -8 + 8 = 0
0 + -1u = -18 + 8
-1u = -18 + 8

Combine like terms: -18 + 8 = -10
-1u = -10

Divide each side by '-1'.
u = 10

Simplifying
u = 10

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