2w^2+w=36

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Solution for 2w^2+w=36 equation:


Simplifying
2w2 + w = 36

Reorder the terms:
w + 2w2 = 36

Solving
w + 2w2 = 36

Solving for variable 'w'.

Reorder the terms:
-36 + w + 2w2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + w + 2w2 = 0

Factor a trinomial.
(-9 + -2w)(4 + -1w) = 0

Subproblem 1

Set the factor '(-9 + -2w)' equal to zero and attempt to solve: Simplifying -9 + -2w = 0 Solving -9 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2w = 0 + 9 -2w = 0 + 9 Combine like terms: 0 + 9 = 9 -2w = 9 Divide each side by '-2'. w = -4.5 Simplifying w = -4.5

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 = {-4.5, 4}

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