(w+24)(w-27)=0

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Solution for (w+24)(w-27)=0 equation:


Simplifying
(w + 24)(w + -27) = 0

Reorder the terms:
(24 + w)(w + -27) = 0

Reorder the terms:
(24 + w)(-27 + w) = 0

Multiply (24 + w) * (-27 + w)
(24(-27 + w) + w(-27 + w)) = 0
((-27 * 24 + w * 24) + w(-27 + w)) = 0
((-648 + 24w) + w(-27 + w)) = 0
(-648 + 24w + (-27 * w + w * w)) = 0
(-648 + 24w + (-27w + w2)) = 0

Combine like terms: 24w + -27w = -3w
(-648 + -3w + w2) = 0

Solving
-648 + -3w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-24 + -1w)(27 + -1w) = 0

Subproblem 1

Set the factor '(-24 + -1w)' equal to zero and attempt to solve: Simplifying -24 + -1w = 0 Solving -24 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1w = 0 + 24 -1w = 0 + 24 Combine like terms: 0 + 24 = 24 -1w = 24 Divide each side by '-1'. w = -24 Simplifying w = -24

Subproblem 2

Set the factor '(27 + -1w)' equal to zero and attempt to solve: Simplifying 27 + -1w = 0 Solving 27 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1w = 0 + -27 -1w = 0 + -27 Combine like terms: 0 + -27 = -27 -1w = -27 Divide each side by '-1'. w = 27 Simplifying w = 27

Solution

w = {-24, 27}

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