-30w=9w^2+25

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


Simplifying
-30w = 9w2 + 25

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

Solving
-30w = 25 + 9w2

Solving for variable 'w'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(25 + 30w + 9w2) = 0

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

Ignore the factor -1.

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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