(10w-9)(8w+7)=

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Solution for (10w-9)(8w+7)= equation: 


Simplifying
(10w + -9)(8w + 7) = 0

Reorder the terms:
(-9 + 10w)(8w + 7) = 0

Reorder the terms:
(-9 + 10w)(7 + 8w) = 0

Multiply (-9 + 10w) * (7 + 8w)
(-9(7 + 8w) + 10w * (7 + 8w)) = 0
((7 * -9 + 8w * -9) + 10w * (7 + 8w)) = 0
((-63 + -72w) + 10w * (7 + 8w)) = 0
(-63 + -72w + (7 * 10w + 8w * 10w)) = 0
(-63 + -72w + (70w + 80w2)) = 0

Combine like terms: -72w + 70w = -2w
(-63 + -2w + 80w2) = 0

Solving
-63 + -2w + 80w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -8w)(9 + -10w) = 0


Subproblem 1
Set the factor '(-7 + -8w)' equal to zero and attempt to solve:

Simplifying
-7 + -8w = 0

Solving
-7 + -8w = 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 + -8w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8w = 0 + 7
-8w = 0 + 7

Combine like terms: 0 + 7 = 7
-8w = 7

Divide each side by '-8'.
w = -0.875

Simplifying
w = -0.875

Subproblem 2
Set the factor '(9 + -10w)' equal to zero and attempt to solve:

Simplifying
9 + -10w = 0

Solving
9 + -10w = 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 + -10w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -10w = 0 + -9
-10w = 0 + -9

Combine like terms: 0 + -9 = -9
-10w = -9

Divide each side by '-10'.
w = 0.9

Simplifying
w = 0.9
Solution
w = {-0.875, 0.9}

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