(4w-7)(5w+9)=

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Solution for (4w-7)(5w+9)= equation: 


Simplifying
(4w + -7)(5w + 9) = 0

Reorder the terms:
(-7 + 4w)(5w + 9) = 0

Reorder the terms:
(-7 + 4w)(9 + 5w) = 0

Multiply (-7 + 4w) * (9 + 5w)
(-7(9 + 5w) + 4w * (9 + 5w)) = 0
((9 * -7 + 5w * -7) + 4w * (9 + 5w)) = 0
((-63 + -35w) + 4w * (9 + 5w)) = 0
(-63 + -35w + (9 * 4w + 5w * 4w)) = 0
(-63 + -35w + (36w + 20w2)) = 0

Combine like terms: -35w + 36w = 1w
(-63 + 1w + 20w2) = 0

Solving
-63 + 1w + 20w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + -5w)(7 + -4w) = 0


Subproblem 1
Set the factor '(-9 + -5w)' equal to zero and attempt to solve:

Simplifying
-9 + -5w = 0

Solving
-9 + -5w = 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 + -5w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5w = 0 + 9
-5w = 0 + 9

Combine like terms: 0 + 9 = 9
-5w = 9

Divide each side by '-5'.
w = -1.8

Simplifying
w = -1.8

Subproblem 2
Set the factor '(7 + -4w)' equal to zero and attempt to solve:

Simplifying
7 + -4w = 0

Solving
7 + -4w = 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 + -4w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4w = 0 + -7
-4w = 0 + -7

Combine like terms: 0 + -7 = -7
-4w = -7

Divide each side by '-4'.
w = 1.75

Simplifying
w = 1.75
Solution
w = {-1.8, 1.75}

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