-23u=6-4u^2

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Solution for -23u=6-4u^2 equation:


Simplifying
-23u = 6 + -4u2

Solving
-23u = 6 + -4u2

Solving for variable 'u'.

Reorder the terms:
-6 + -23u + 4u2 = 6 + -4u2 + -6 + 4u2

Reorder the terms:
-6 + -23u + 4u2 = 6 + -6 + -4u2 + 4u2

Combine like terms: 6 + -6 = 0
-6 + -23u + 4u2 = 0 + -4u2 + 4u2
-6 + -23u + 4u2 = -4u2 + 4u2

Combine like terms: -4u2 + 4u2 = 0
-6 + -23u + 4u2 = 0

Factor a trinomial.
(-1 + -4u)(6 + -1u) = 0

Subproblem 1

Set the factor '(-1 + -4u)' equal to zero and attempt to solve: Simplifying -1 + -4u = 0 Solving -1 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4u = 0 + 1 -4u = 0 + 1 Combine like terms: 0 + 1 = 1 -4u = 1 Divide each side by '-4'. u = -0.25 Simplifying u = -0.25

Subproblem 2

Set the factor '(6 + -1u)' equal to zero and attempt to solve: Simplifying 6 + -1u = 0 Solving 6 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1u = 0 + -6 -1u = 0 + -6 Combine like terms: 0 + -6 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6

Solution

u = {-0.25, 6}

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