(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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