3u^2+7=6u+7

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Solution for 3u^2+7=6u+7 equation:


Simplifying
3u2 + 7 = 6u + 7

Reorder the terms:
7 + 3u2 = 6u + 7

Reorder the terms:
7 + 3u2 = 7 + 6u

Add '-7' to each side of the equation.
7 + -7 + 3u2 = 7 + -7 + 6u

Combine like terms: 7 + -7 = 0
0 + 3u2 = 7 + -7 + 6u
3u2 = 7 + -7 + 6u

Combine like terms: 7 + -7 = 0
3u2 = 0 + 6u
3u2 = 6u

Solving
3u2 = 6u

Solving for variable 'u'.

Reorder the terms:
-6u + 3u2 = 6u + -6u

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

Factor out the Greatest Common Factor (GCF), '3u'.
3u(-2 + u) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0

Subproblem 2

Set the factor '(-2 + u)' equal to zero and attempt to solve: Simplifying -2 + u = 0 Solving -2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + u = 0 + 2 u = 0 + 2 Combine like terms: 0 + 2 = 2 u = 2 Simplifying u = 2

Solution

u = {0, 2}

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