380w-3w^2-9900=0

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Solution for 380w-3w^2-9900=0 equation:


Simplifying
380w + -3w2 + -9900 = 0

Reorder the terms:
-9900 + 380w + -3w2 = 0

Solving
-9900 + 380w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-90 + w)(110 + -3w) = 0

Subproblem 1

Set the factor '(-90 + w)' equal to zero and attempt to solve: Simplifying -90 + w = 0 Solving -90 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + w = 0 + 90 Combine like terms: -90 + 90 = 0 0 + w = 0 + 90 w = 0 + 90 Combine like terms: 0 + 90 = 90 w = 90 Simplifying w = 90

Subproblem 2

Set the factor '(110 + -3w)' equal to zero and attempt to solve: Simplifying 110 + -3w = 0 Solving 110 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + -3w = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -3w = 0 + -110 -3w = 0 + -110 Combine like terms: 0 + -110 = -110 -3w = -110 Divide each side by '-3'. w = 36.66666667 Simplifying w = 36.66666667

Solution

w = {90, 36.66666667}

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