2w^2-4w=240

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Solution for 2w^2-4w=240 equation:


Simplifying
2w2 + -4w = 240

Reorder the terms:
-4w + 2w2 = 240

Solving
-4w + 2w2 = 240

Solving for variable 'w'.

Reorder the terms:
-240 + -4w + 2w2 = 240 + -240

Combine like terms: 240 + -240 = 0
-240 + -4w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-120 + -2w + w2) = 0

Factor a trinomial.
2((-10 + -1w)(12 + -1w)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + -1w)' equal to zero and attempt to solve: Simplifying -10 + -1w = 0 Solving -10 + -1w = 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 + -1w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 0 + 10 -1w = 0 + 10 Combine like terms: 0 + 10 = 10 -1w = 10 Divide each side by '-1'. w = -10 Simplifying w = -10

Subproblem 2

Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12

Solution

w = {-10, 12}

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