(w+10)(w-7)=0

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Solution for (w+10)(w-7)=0 equation: 


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

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

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

Multiply (10 + w) * (-7 + w)
(10(-7 + w) + w(-7 + w)) = 0
((-7 * 10 + w * 10) + w(-7 + w)) = 0
((-70 + 10w) + w(-7 + w)) = 0
(-70 + 10w + (-7 * w + w * w)) = 0
(-70 + 10w + (-7w + w2)) = 0

Combine like terms: 10w + -7w = 3w
(-70 + 3w + w2) = 0

Solving
-70 + 3w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-10 + -1w)(7 + -1w) = 0


Subproblem 1
Set the factor '(-10 + -1w)' equal to zero and attempt to solve:

Simplifying
-10 + -1w = 0

Solving
-10 + -1w = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1w = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1w = 0 + 10
-1w = 0 + 10

Combine like terms: 0 + 10 = 10
-1w = 10

Divide each side by '-1'.
w = -10

Simplifying
w = -10

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 = {-10, 7}

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