(5w+32)(w-7)=0

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Solution for (5w+32)(w-7)=0 equation: 


Simplifying
(5w + 32)(w + -7) = 0

Reorder the terms:
(32 + 5w)(w + -7) = 0

Reorder the terms:
(32 + 5w)(-7 + w) = 0

Multiply (32 + 5w) * (-7 + w)
(32(-7 + w) + 5w * (-7 + w)) = 0
((-7 * 32 + w * 32) + 5w * (-7 + w)) = 0
((-224 + 32w) + 5w * (-7 + w)) = 0
(-224 + 32w + (-7 * 5w + w * 5w)) = 0
(-224 + 32w + (-35w + 5w2)) = 0

Combine like terms: 32w + -35w = -3w
(-224 + -3w + 5w2) = 0

Solving
-224 + -3w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-32 + -5w)(7 + -1w) = 0


Subproblem 1
Set the factor '(-32 + -5w)' equal to zero and attempt to solve:

Simplifying
-32 + -5w = 0

Solving
-32 + -5w = 0

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

Add '32' to each side of the equation.
-32 + 32 + -5w = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -5w = 0 + 32
-5w = 0 + 32

Combine like terms: 0 + 32 = 32
-5w = 32

Divide each side by '-5'.
w = -6.4

Simplifying
w = -6.4

Subproblem 2
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
Solution
w = {-6.4, 7}

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