3u^2+7u=6

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


Simplifying
3u2 + 7u = 6

Reorder the terms:
7u + 3u2 = 6

Solving
7u + 3u2 = 6

Solving for variable 'u'.

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

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

Factor a trinomial.
(-3 + -1u)(2 + -3u) = 0

Subproblem 1

Set the factor '(-3 + -1u)' equal to zero and attempt to solve: Simplifying -3 + -1u = 0 Solving -3 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1u = 0 + 3 -1u = 0 + 3 Combine like terms: 0 + 3 = 3 -1u = 3 Divide each side by '-1'. u = -3 Simplifying u = -3

Subproblem 2

Set the factor '(2 + -3u)' equal to zero and attempt to solve: Simplifying 2 + -3u = 0 Solving 2 + -3u = 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 + -3u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3u = 0 + -2 -3u = 0 + -2 Combine like terms: 0 + -2 = -2 -3u = -2 Divide each side by '-3'. u = 0.6666666667 Simplifying u = 0.6666666667

Solution

u = {-3, 0.6666666667}

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