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

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


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

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

Multiply (7 + w) * (9 + 2w)
(7(9 + 2w) + w(9 + 2w)) = 0
((9 * 7 + 2w * 7) + w(9 + 2w)) = 0
((63 + 14w) + w(9 + 2w)) = 0
(63 + 14w + (9 * w + 2w * w)) = 0
(63 + 14w + (9w + 2w2)) = 0

Combine like terms: 14w + 9w = 23w
(63 + 23w + 2w2) = 0

Solving
63 + 23w + 2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(7 + w)(9 + 2w) = 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 + 2w)' equal to zero and attempt to solve:

Simplifying
9 + 2w = 0

Solving
9 + 2w = 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 + 2w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2w = 0 + -9
2w = 0 + -9

Combine like terms: 0 + -9 = -9
2w = -9

Divide each side by '2'.
w = -4.5

Simplifying
w = -4.5
Solution
w = {-7, -4.5}

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