15w^2-200w+500=0

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Solution for 15w^2-200w+500=0 equation:


Simplifying
15w2 + -200w + 500 = 0

Reorder the terms:
500 + -200w + 15w2 = 0

Solving
500 + -200w + 15w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(100 + -40w + 3w2) = 0

Factor a trinomial.
5((10 + -3w)(10 + -1w)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(10 + -3w)' equal to zero and attempt to solve: Simplifying 10 + -3w = 0 Solving 10 + -3w = 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 + -3w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = 0 + -10 -3w = 0 + -10 Combine like terms: 0 + -10 = -10 -3w = -10 Divide each side by '-3'. w = 3.333333333 Simplifying w = 3.333333333

Subproblem 2

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

Solution

w = {3.333333333, 10}

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