24x^3w-44x^2w+24x^3-44x^2=0

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Solution for 24x^3w-44x^2w+24x^3-44x^2=0 equation:


Simplifying
24x3w + -44x2w + 24x3 + -44x2 = 0

Reorder the terms:
-44wx2 + 24wx3 + -44x2 + 24x3 = 0

Solving
-44wx2 + 24wx3 + -44x2 + 24x3 = 0

Solving for variable 'w'.

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

Add '44x2' to each side of the equation.
-44wx2 + 24wx3 + -44x2 + 44x2 + 24x3 = 0 + 44x2

Combine like terms: -44x2 + 44x2 = 0
-44wx2 + 24wx3 + 0 + 24x3 = 0 + 44x2
-44wx2 + 24wx3 + 24x3 = 0 + 44x2
Remove the zero:
-44wx2 + 24wx3 + 24x3 = 44x2

Add '-24x3' to each side of the equation.
-44wx2 + 24wx3 + 24x3 + -24x3 = 44x2 + -24x3

Combine like terms: 24x3 + -24x3 = 0
-44wx2 + 24wx3 + 0 = 44x2 + -24x3
-44wx2 + 24wx3 = 44x2 + -24x3

Reorder the terms:
-44wx2 + 24wx3 + -44x2 + 24x3 = 44x2 + -44x2 + -24x3 + 24x3

Combine like terms: 44x2 + -44x2 = 0
-44wx2 + 24wx3 + -44x2 + 24x3 = 0 + -24x3 + 24x3
-44wx2 + 24wx3 + -44x2 + 24x3 = -24x3 + 24x3

Combine like terms: -24x3 + 24x3 = 0
-44wx2 + 24wx3 + -44x2 + 24x3 = 0

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-11w + 6wx + -11 + 6x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 = 0 + -1x2 Remove the zero: 0 = -1x2 Simplifying 0 = -1x2 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 '(-11w + 6wx + -11 + 6x)' equal to zero and attempt to solve: Simplifying -11w + 6wx + -11 + 6x = 0 Reorder the terms: -11 + -11w + 6wx + 6x = 0 Solving -11 + -11w + 6wx + 6x = 0 Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + -11w + 6wx + 11 + 6x = 0 + 11 Reorder the terms: -11 + 11 + -11w + 6wx + 6x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -11w + 6wx + 6x = 0 + 11 -11w + 6wx + 6x = 0 + 11 Combine like terms: 0 + 11 = 11 -11w + 6wx + 6x = 11 Add '-6x' to each side of the equation. -11w + 6wx + 6x + -6x = 11 + -6x Combine like terms: 6x + -6x = 0 -11w + 6wx + 0 = 11 + -6x -11w + 6wx = 11 + -6x 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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