2w^2+40w+200=0

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Solution for 2w^2+40w+200=0 equation:


Simplifying
2w2 + 40w + 200 = 0

Reorder the terms:
200 + 40w + 2w2 = 0

Solving
200 + 40w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(100 + 20w + w2) = 0

Factor a trinomial.
2((10 + w)(10 + w)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(10 + w)' equal to zero and attempt to solve: Simplifying 10 + w = 0 Solving 10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + w = 0 + -10 w = 0 + -10 Combine like terms: 0 + -10 = -10 w = -10 Simplifying w = -10

Subproblem 2

Set the factor '(10 + w)' equal to zero and attempt to solve: Simplifying 10 + w = 0 Solving 10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + w = 0 + -10 w = 0 + -10 Combine like terms: 0 + -10 = -10 w = -10 Simplifying w = -10

Solution

w = {-10, -10}

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