25w^2+30w+9=0

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Solution for 25w^2+30w+9=0 equation:


Simplifying
25w2 + 30w + 9 = 0

Reorder the terms:
9 + 30w + 25w2 = 0

Solving
9 + 30w + 25w2 = 0

Solving for variable 'w'.

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

Subproblem 1

Set the factor '(3 + 5w)' equal to zero and attempt to solve: Simplifying 3 + 5w = 0 Solving 3 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 0 + -3 5w = 0 + -3 Combine like terms: 0 + -3 = -3 5w = -3 Divide each side by '5'. w = -0.6 Simplifying w = -0.6

Subproblem 2

Set the factor '(3 + 5w)' equal to zero and attempt to solve: Simplifying 3 + 5w = 0 Solving 3 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 0 + -3 5w = 0 + -3 Combine like terms: 0 + -3 = -3 5w = -3 Divide each side by '5'. w = -0.6 Simplifying w = -0.6

Solution

w = {-0.6, -0.6}

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