-2(w+7)(-w-9)=0

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Solution for -2(w+7)(-w-9)=0 equation:


Simplifying
-2(w + 7)(-1w + -9) = 0

Reorder the terms:
-2(7 + w)(-1w + -9) = 0

Reorder the terms:
-2(7 + w)(-9 + -1w) = 0

Multiply (7 + w) * (-9 + -1w)
-2(7(-9 + -1w) + w(-9 + -1w)) = 0
-2((-9 * 7 + -1w * 7) + w(-9 + -1w)) = 0
-2((-63 + -7w) + w(-9 + -1w)) = 0
-2(-63 + -7w + (-9 * w + -1w * w)) = 0
-2(-63 + -7w + (-9w + -1w2)) = 0

Combine like terms: -7w + -9w = -16w
-2(-63 + -16w + -1w2) = 0
(-63 * -2 + -16w * -2 + -1w2 * -2) = 0
(126 + 32w + 2w2) = 0

Solving
126 + 32w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(63 + 16w + w2) = 0

Factor a trinomial.
2((9 + w)(7 + w)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9

Subproblem 2

Set the factor '(7 + w)' equal to zero and attempt to solve: Simplifying 7 + w = 0 Solving 7 + w = 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 + w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + w = 0 + -7 w = 0 + -7 Combine like terms: 0 + -7 = -7 w = -7 Simplifying w = -7

Solution

w = {-9, -7}

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