(14w+9)(5w-3)=0

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Solution for (14w+9)(5w-3)=0 equation:


Simplifying
(14w + 9)(5w + -3) = 0

Reorder the terms:
(9 + 14w)(5w + -3) = 0

Reorder the terms:
(9 + 14w)(-3 + 5w) = 0

Multiply (9 + 14w) * (-3 + 5w)
(9(-3 + 5w) + 14w * (-3 + 5w)) = 0
((-3 * 9 + 5w * 9) + 14w * (-3 + 5w)) = 0
((-27 + 45w) + 14w * (-3 + 5w)) = 0
(-27 + 45w + (-3 * 14w + 5w * 14w)) = 0
(-27 + 45w + (-42w + 70w2)) = 0

Combine like terms: 45w + -42w = 3w
(-27 + 3w + 70w2) = 0

Solving
-27 + 3w + 70w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + -14w)(3 + -5w) = 0

Subproblem 1

Set the factor '(-9 + -14w)' equal to zero and attempt to solve: Simplifying -9 + -14w = 0 Solving -9 + -14w = 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 + -14w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -14w = 0 + 9 -14w = 0 + 9 Combine like terms: 0 + 9 = 9 -14w = 9 Divide each side by '-14'. w = -0.6428571429 Simplifying w = -0.6428571429

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 = {-0.6428571429, 0.6}

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