5w^2+11w=12

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Solution for 5w^2+11w=12 equation:


Simplifying
5w2 + 11w = 12

Reorder the terms:
11w + 5w2 = 12

Solving
11w + 5w2 = 12

Solving for variable 'w'.

Reorder the terms:
-12 + 11w + 5w2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 11w + 5w2 = 0

Factor a trinomial.
(-3 + -1w)(4 + -5w) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -5w)' equal to zero and attempt to solve: Simplifying 4 + -5w = 0 Solving 4 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = 0 + -4 -5w = 0 + -4 Combine like terms: 0 + -4 = -4 -5w = -4 Divide each side by '-5'. w = 0.8 Simplifying w = 0.8

Solution

w = {-3, 0.8}

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