2w^2+3w=35

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Solution for 2w^2+3w=35 equation:


Simplifying
2w2 + 3w = 35

Reorder the terms:
3w + 2w2 = 35

Solving
3w + 2w2 = 35

Solving for variable 'w'.

Reorder the terms:
-35 + 3w + 2w2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 3w + 2w2 = 0

Factor a trinomial.
(-5 + -1w)(7 + -2w) = 0

Subproblem 1

Set the factor '(-5 + -1w)' equal to zero and attempt to solve: Simplifying -5 + -1w = 0 Solving -5 + -1w = 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 + -1w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = 0 + 5 -1w = 0 + 5 Combine like terms: 0 + 5 = 5 -1w = 5 Divide each side by '-1'. w = -5 Simplifying w = -5

Subproblem 2

Set the factor '(7 + -2w)' equal to zero and attempt to solve: Simplifying 7 + -2w = 0 Solving 7 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = 0 + -7 -2w = 0 + -7 Combine like terms: 0 + -7 = -7 -2w = -7 Divide each side by '-2'. w = 3.5 Simplifying w = 3.5

Solution

w = {-5, 3.5}

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