3w^2-7w-20=0

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Solution for 3w^2-7w-20=0 equation:


Simplifying
3w2 + -7w + -20 = 0

Reorder the terms:
-20 + -7w + 3w2 = 0

Solving
-20 + -7w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5 + -3w)(4 + -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 '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 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 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4

Solution

w = {-1.666666667, 4}

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