3x^2(2x^3y^2)=32

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Solution for 3x^2(2x^3y^2)=32 equation:


Simplifying
3x2(2x3y2) = 32

Remove parenthesis around (2x3y2)
3x2 * 2x3y2 = 32

Reorder the terms for easier multiplication:
3 * 2x2 * x3y2 = 32

Multiply 3 * 2
6x2 * x3y2 = 32

Multiply x2 * x3y2
6x5y2 = 32

Solving
6x5y2 = 32

Solving for variable 'x'.

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

Divide each side by '6y2'.
x5 = 5.333333333y-2

Simplifying
x5 = 5.333333333y-2

Combine like terms: 5.333333333y-2 + -5.333333333y-2 = 0.000000000
x5 + -5.333333333y-2 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'y-2'.
y-2(x5y2 + -5.333333333) = 0.000000000

Subproblem 1

Set the factor 'y-2' equal to zero and attempt to solve: Simplifying y-2 = 0 Solving y-2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-2' to each side of the equation. y-2 + -1y-2 = 0 + -1y-2 Remove the zero: 0 = -1y-2 Simplifying 0 = -1y-2 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 '(x5y2 + -5.333333333)' equal to zero and attempt to solve: Simplifying x5y2 + -5.333333333 = 0 Reorder the terms: -5.333333333 + x5y2 = 0 Solving -5.333333333 + x5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5.333333333' to each side of the equation. -5.333333333 + 5.333333333 + x5y2 = 0 + 5.333333333 Combine like terms: -5.333333333 + 5.333333333 = 0.000000000 0.000000000 + x5y2 = 0 + 5.333333333 x5y2 = 0 + 5.333333333 Combine like terms: 0 + 5.333333333 = 5.333333333 x5y2 = 5.333333333 Divide each side by 'y2'. x5 = 5.333333333y-2 Simplifying x5 = 5.333333333y-2 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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