10w^2+39w-27=0

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Solution for 10w^2+39w-27=0 equation:


Simplifying
10w2 + 39w + -27 = 0

Reorder the terms:
-27 + 39w + 10w2 = 0

Solving
-27 + 39w + 10w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + -2w)(3 + -5w) = 0

Subproblem 1

Set the factor '(-9 + -2w)' equal to zero and attempt to solve: Simplifying -9 + -2w = 0 Solving -9 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2w = 0 + 9 -2w = 0 + 9 Combine like terms: 0 + 9 = 9 -2w = 9 Divide each side by '-2'. w = -4.5 Simplifying w = -4.5

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 = {-4.5, 0.6}

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