9w^2+25=-30w

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Solution for 9w^2+25=-30w equation:


Simplifying
9w2 + 25 = -30w

Reorder the terms:
25 + 9w2 = -30w

Solving
25 + 9w2 = -30w

Solving for variable 'w'.

Reorder the terms:
25 + 30w + 9w2 = -30w + 30w

Combine like terms: -30w + 30w = 0
25 + 30w + 9w2 = 0

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

Subproblem 1

Set the factor '(5 + 3w)' equal to zero and attempt to solve: Simplifying 5 + 3w = 0 Solving 5 + 3w = 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 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667

Subproblem 2

Set the factor '(5 + 3w)' equal to zero and attempt to solve: Simplifying 5 + 3w = 0 Solving 5 + 3w = 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 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667

Solution

w = {-1.666666667, -1.666666667}

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