(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 = 33w
(-14 + 33w + 5w2) = 0

Solving
-14 + 33w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -1w)(2 + -5w) = 0


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

Simplifying
-7 + -1w = 0

Solving
-7 + -1w = 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 + -1w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1w = 0 + 7
-1w = 0 + 7

Combine like terms: 0 + 7 = 7
-1w = 7

Divide each side by '-1'.
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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