2w^2+8w=2170

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Solution for 2w^2+8w=2170 equation:


Simplifying
2w2 + 8w = 2170

Reorder the terms:
8w + 2w2 = 2170

Solving
8w + 2w2 = 2170

Solving for variable 'w'.

Reorder the terms:
-2170 + 8w + 2w2 = 2170 + -2170

Combine like terms: 2170 + -2170 = 0
-2170 + 8w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1085 + 4w + w2) = 0

Factor a trinomial.
2((-35 + -1w)(31 + -1w)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-35 + -1w)' equal to zero and attempt to solve: Simplifying -35 + -1w = 0 Solving -35 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1w = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1w = 0 + 35 -1w = 0 + 35 Combine like terms: 0 + 35 = 35 -1w = 35 Divide each side by '-1'. w = -35 Simplifying w = -35

Subproblem 2

Set the factor '(31 + -1w)' equal to zero and attempt to solve: Simplifying 31 + -1w = 0 Solving 31 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1w = 0 + -31 -1w = 0 + -31 Combine like terms: 0 + -31 = -31 -1w = -31 Divide each side by '-1'. w = 31 Simplifying w = 31

Solution

w = {-35, 31}

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