(9w+7)(2w-5)=0

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Solution for (9w+7)(2w-5)=0 equation: 


Simplifying
(9w + 7)(2w + -5) = 0

Reorder the terms:
(7 + 9w)(2w + -5) = 0

Reorder the terms:
(7 + 9w)(-5 + 2w) = 0

Multiply (7 + 9w) * (-5 + 2w)
(7(-5 + 2w) + 9w * (-5 + 2w)) = 0
((-5 * 7 + 2w * 7) + 9w * (-5 + 2w)) = 0
((-35 + 14w) + 9w * (-5 + 2w)) = 0
(-35 + 14w + (-5 * 9w + 2w * 9w)) = 0
(-35 + 14w + (-45w + 18w2)) = 0

Combine like terms: 14w + -45w = -31w
(-35 + -31w + 18w2) = 0

Solving
-35 + -31w + 18w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -9w)(5 + -2w) = 0


Subproblem 1
Set the factor '(-7 + -9w)' equal to zero and attempt to solve:

Simplifying
-7 + -9w = 0

Solving
-7 + -9w = 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 + -9w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -9w = 0 + 7
-9w = 0 + 7

Combine like terms: 0 + 7 = 7
-9w = 7

Divide each side by '-9'.
w = -0.7777777778

Simplifying
w = -0.7777777778

Subproblem 2
Set the factor '(5 + -2w)' equal to zero and attempt to solve:

Simplifying
5 + -2w = 0

Solving
5 + -2w = 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 + -2w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2w = 0 + -5
-2w = 0 + -5

Combine like terms: 0 + -5 = -5
-2w = -5

Divide each side by '-2'.
w = 2.5

Simplifying
w = 2.5
Solution
w = {-0.7777777778, 2.5}

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