12w^2+8w-15=

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Solution for 12w^2+8w-15= equation:


Simplifying
12w2 + 8w + -15 = 0

Reorder the terms:
-15 + 8w + 12w2 = 0

Solving
-15 + 8w + 12w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3 + -2w)(5 + -6w) = 0

Subproblem 1

Set the factor '(-3 + -2w)' equal to zero and attempt to solve: Simplifying -3 + -2w = 0 Solving -3 + -2w = 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 + -2w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = 0 + 3 -2w = 0 + 3 Combine like terms: 0 + 3 = 3 -2w = 3 Divide each side by '-2'. w = -1.5 Simplifying w = -1.5

Subproblem 2

Set the factor '(5 + -6w)' equal to zero and attempt to solve: Simplifying 5 + -6w = 0 Solving 5 + -6w = 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 + -6w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6w = 0 + -5 -6w = 0 + -5 Combine like terms: 0 + -5 = -5 -6w = -5 Divide each side by '-6'. w = 0.8333333333 Simplifying w = 0.8333333333

Solution

w = {-1.5, 0.8333333333}

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