3w^2+2w-5=0

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Solution for 3w^2+2w-5=0 equation:


Simplifying
3w2 + 2w + -5 = 0

Reorder the terms:
-5 + 2w + 3w2 = 0

Solving
-5 + 2w + 3w2 = 0

Solving for variable 'w'.

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

Subproblem 1

Set the factor '(-5 + -3w)' equal to zero and attempt to solve: Simplifying -5 + -3w = 0 Solving -5 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3w = 0 + 5 -3w = 0 + 5 Combine like terms: 0 + 5 = 5 -3w = 5 Divide each side by '-3'. w = -1.666666667 Simplifying w = -1.666666667

Subproblem 2

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

Solution

w = {-1.666666667, 1}

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