(3w+2)x(-w^2+4w-3)=

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Solution for (3w+2)x(-w^2+4w-3)= equation:


Simplifying
(3w + 2) * x(-1w2 + 4w + -3) = 0

Reorder the terms:
(2 + 3w) * x(-1w2 + 4w + -3) = 0

Reorder the terms:
(2 + 3w) * x(-3 + 4w + -1w2) = 0

Reorder the terms for easier multiplication:
x(2 + 3w)(-3 + 4w + -1w2) = 0

Multiply (2 + 3w) * (-3 + 4w + -1w2)
x(2(-3 + 4w + -1w2) + 3w * (-3 + 4w + -1w2)) = 0
x((-3 * 2 + 4w * 2 + -1w2 * 2) + 3w * (-3 + 4w + -1w2)) = 0
x((-6 + 8w + -2w2) + 3w * (-3 + 4w + -1w2)) = 0
x(-6 + 8w + -2w2 + (-3 * 3w + 4w * 3w + -1w2 * 3w)) = 0
x(-6 + 8w + -2w2 + (-9w + 12w2 + -3w3)) = 0

Reorder the terms:
x(-6 + 8w + -9w + -2w2 + 12w2 + -3w3) = 0

Combine like terms: 8w + -9w = -1w
x(-6 + -1w + -2w2 + 12w2 + -3w3) = 0

Combine like terms: -2w2 + 12w2 = 10w2
x(-6 + -1w + 10w2 + -3w3) = 0
(-6 * x + -1w * x + 10w2 * x + -3w3 * x) = 0

Reorder the terms:
(-1wx + 10w2x + -3w3x + -6x) = 0
(-1wx + 10w2x + -3w3x + -6x) = 0

Solving
-1wx + 10w2x + -3w3x + -6x = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1w + 10w2 + -3w3 + -6) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1w + 10w2 + -3w3 + -6)' equal to zero and attempt to solve: Simplifying -1w + 10w2 + -3w3 + -6 = 0 Reorder the terms: -6 + -1w + 10w2 + -3w3 = 0 Solving -6 + -1w + 10w2 + -3w3 = 0 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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