(7+w)(5w+2)=0

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Solution for (7+w)(5w+2)=0 equation: 


Simplifying
(7 + w)(5w + 2) = 0

Reorder the terms:
(7 + w)(2 + 5w) = 0

Multiply (7 + w) * (2 + 5w)
(7(2 + 5w) + w(2 + 5w)) = 0
((2 * 7 + 5w * 7) + w(2 + 5w)) = 0
((14 + 35w) + w(2 + 5w)) = 0
(14 + 35w + (2 * w + 5w * w)) = 0
(14 + 35w + (2w + 5w2)) = 0

Combine like terms: 35w + 2w = 37w
(14 + 37w + 5w2) = 0

Solving
14 + 37w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(7 + w)(2 + 5w) = 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 '(2 + 5w)' equal to zero and attempt to solve:

Simplifying
2 + 5w = 0

Solving
2 + 5w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 5w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5w = 0 + -2
5w = 0 + -2

Combine like terms: 0 + -2 = -2
5w = -2

Divide each side by '5'.
w = -0.4

Simplifying
w = -0.4
Solution
w = {-7, -0.4}

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