9w^2+15w-14=0

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Solution for 9w^2+15w-14=0 equation:


Simplifying
9w2 + 15w + -14 = 0

Reorder the terms:
-14 + 15w + 9w2 = 0

Solving
-14 + 15w + 9w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -3w)(2 + -3w) = 0

Subproblem 1

Set the factor '(-7 + -3w)' equal to zero and attempt to solve: Simplifying -7 + -3w = 0 Solving -7 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 0 + 7 -3w = 0 + 7 Combine like terms: 0 + 7 = 7 -3w = 7 Divide each side by '-3'. w = -2.333333333 Simplifying w = -2.333333333

Subproblem 2

Set the factor '(2 + -3w)' equal to zero and attempt to solve: Simplifying 2 + -3w = 0 Solving 2 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 0 + -2 -3w = 0 + -2 Combine like terms: 0 + -2 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667

Solution

w = {-2.333333333, 0.6666666667}

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