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

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


Simplifying
(5w + -7)(9 + -1w) = 0

Reorder the terms:
(-7 + 5w)(9 + -1w) = 0

Multiply (-7 + 5w) * (9 + -1w)
(-7(9 + -1w) + 5w * (9 + -1w)) = 0
((9 * -7 + -1w * -7) + 5w * (9 + -1w)) = 0
((-63 + 7w) + 5w * (9 + -1w)) = 0
(-63 + 7w + (9 * 5w + -1w * 5w)) = 0
(-63 + 7w + (45w + -5w2)) = 0

Combine like terms: 7w + 45w = 52w
(-63 + 52w + -5w2) = 0

Solving
-63 + 52w + -5w2 = 0

Solving for variable 'w'.

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


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

Simplifying
-9 + w = 0

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

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

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

Simplifying
w = 9

Subproblem 2
Set the factor '(7 + -5w)' equal to zero and attempt to solve:

Simplifying
7 + -5w = 0

Solving
7 + -5w = 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 + -5w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5w = 0 + -7
-5w = 0 + -7

Combine like terms: 0 + -7 = -7
-5w = -7

Divide each side by '-5'.
w = 1.4

Simplifying
w = 1.4
Solution
w = {9, 1.4}

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