(w-7)*(w-2)=

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Solution for (w-7)*(w-2)= equation:


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

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

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

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

Combine like terms: -7w + -2w = -9w
(14 + -9w + w2) = 0

Solving
14 + -9w + w2 = 0

Solving for variable 'w'.

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


Subproblem 1
Set the factor '(2 + -1w)' equal to zero and attempt to solve:

Simplifying
2 + -1w = 0

Solving
2 + -1w = 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 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2

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 = {2, 7}

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