(8w+5)(3W-9)=0

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Solution for (8w+5)(3W-9)=0 equation:


Simplifying
(8w + 5)(3W + -9) = 0

Reorder the terms:
(5 + 8w)(3W + -9) = 0

Reorder the terms:
(5 + 8w)(-9 + 3W) = 0

Multiply (5 + 8w) * (-9 + 3W)
(5(-9 + 3W) + 8w * (-9 + 3W)) = 0
((-9 * 5 + 3W * 5) + 8w * (-9 + 3W)) = 0
((-45 + 15W) + 8w * (-9 + 3W)) = 0
(-45 + 15W + (-9 * 8w + 3W * 8w)) = 0
(-45 + 15W + (-72w + 24wW)) = 0
(-45 + 15W + -72w + 24wW) = 0

Solving
-45 + 15W + -72w + 24wW = 0

Solving for variable 'W'.

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

Add '45' to each side of the equation.
-45 + 15W + -72w + 45 + 24wW = 0 + 45

Reorder the terms:
-45 + 45 + 15W + -72w + 24wW = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 15W + -72w + 24wW = 0 + 45
15W + -72w + 24wW = 0 + 45

Combine like terms: 0 + 45 = 45
15W + -72w + 24wW = 45

Add '72w' to each side of the equation.
15W + -72w + 72w + 24wW = 45 + 72w

Combine like terms: -72w + 72w = 0
15W + 0 + 24wW = 45 + 72w
15W + 24wW = 45 + 72w

Reorder the terms:
-45 + 15W + -72w + 24wW = 45 + 72w + -45 + -72w

Reorder the terms:
-45 + 15W + -72w + 24wW = 45 + -45 + 72w + -72w

Combine like terms: 45 + -45 = 0
-45 + 15W + -72w + 24wW = 0 + 72w + -72w
-45 + 15W + -72w + 24wW = 72w + -72w

Combine like terms: 72w + -72w = 0
-45 + 15W + -72w + 24wW = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + 5W + -24w + 8wW) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-15 + 5W + -24w + 8wW)' equal to zero and attempt to solve: Simplifying -15 + 5W + -24w + 8wW = 0 Solving -15 + 5W + -24w + 8wW = 0 Move all terms containing W to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5W + -24w + 15 + 8wW = 0 + 15 Reorder the terms: -15 + 15 + 5W + -24w + 8wW = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5W + -24w + 8wW = 0 + 15 5W + -24w + 8wW = 0 + 15 Combine like terms: 0 + 15 = 15 5W + -24w + 8wW = 15 Add '24w' to each side of the equation. 5W + -24w + 24w + 8wW = 15 + 24w Combine like terms: -24w + 24w = 0 5W + 0 + 8wW = 15 + 24w 5W + 8wW = 15 + 24w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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