(14w+9)(5w-15)=0

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Solution for (14w+9)(5w-15)=0 equation: 


Simplifying
(14w + 9)(5w + -15) = 0

Reorder the terms:
(9 + 14w)(5w + -15) = 0

Reorder the terms:
(9 + 14w)(-15 + 5w) = 0

Multiply (9 + 14w) * (-15 + 5w)
(9(-15 + 5w) + 14w * (-15 + 5w)) = 0
((-15 * 9 + 5w * 9) + 14w * (-15 + 5w)) = 0
((-135 + 45w) + 14w * (-15 + 5w)) = 0
(-135 + 45w + (-15 * 14w + 5w * 14w)) = 0
(-135 + 45w + (-210w + 70w2)) = 0

Combine like terms: 45w + -210w = -165w
(-135 + -165w + 70w2) = 0

Solving
-135 + -165w + 70w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-27 + -33w + 14w2) = 0

Factor a trinomial.
5((-9 + -14w)(3 + -1w)) = 0

Ignore the factor 5.

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 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 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 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {-0.6428571429, 3}

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