(4w-9)(7-w)=0

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Solution for (4w-9)(7-w)=0 equation: 


Simplifying
(4w + -9)(7 + -1w) = 0

Reorder the terms:
(-9 + 4w)(7 + -1w) = 0

Multiply (-9 + 4w) * (7 + -1w)
(-9(7 + -1w) + 4w * (7 + -1w)) = 0
((7 * -9 + -1w * -9) + 4w * (7 + -1w)) = 0
((-63 + 9w) + 4w * (7 + -1w)) = 0
(-63 + 9w + (7 * 4w + -1w * 4w)) = 0
(-63 + 9w + (28w + -4w2)) = 0

Combine like terms: 9w + 28w = 37w
(-63 + 37w + -4w2) = 0

Solving
-63 + 37w + -4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + w)(9 + -4w) = 0


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

Simplifying
-7 + w = 0

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

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

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

Simplifying
w = 7

Subproblem 2
Set the factor '(9 + -4w)' equal to zero and attempt to solve:

Simplifying
9 + -4w = 0

Solving
9 + -4w = 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 + -4w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4w = 0 + -9
-4w = 0 + -9

Combine like terms: 0 + -9 = -9
-4w = -9

Divide each side by '-4'.
w = 2.25

Simplifying
w = 2.25
Solution
w = {7, 2.25}

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