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Simplifying 96 = (2x)(3y)(4x) Remove parenthesis around (2x) 96 = 2x(3y)(4x) Remove parenthesis around (3y) 96 = 2x * 3y(4x) Remove parenthesis around (4x) 96 = 2x * 3y * 4x Reorder the terms for easier multiplication: 96 = 2 * 3 * 4x * y * x Multiply 2 * 3 96 = 6 * 4x * y * x Multiply 6 * 4 96 = 24x * y * x Multiply x * y 96 = 24xy * x Multiply xy * x 96 = 24x2y Solving 96 = 24x2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x2y' to each side of the equation. 96 + -24x2y = 24x2y + -24x2y Combine like terms: 24x2y + -24x2y = 0 96 + -24x2y = 0 Add '-96' to each side of the equation. 96 + -96 + -24x2y = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -24x2y = 0 + -96 -24x2y = 0 + -96 Combine like terms: 0 + -96 = -96 -24x2y = -96 Divide each side by '-24y'. x2 = 4y-1 Simplifying x2 = 4y-1 Combine like terms: 4y-1 + -4y-1 = 0 x2 + -4y-1 = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + -4) = 0Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x2y + -4)' equal to zero and attempt to solve: Simplifying x2y + -4 = 0 Reorder the terms: -4 + x2y = 0 Solving -4 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x2y = 0 + 4 x2y = 0 + 4 Combine like terms: 0 + 4 = 4 x2y = 4 Divide each side by 'y'. x2 = 4y-1 Simplifying x2 = 4y-1 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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