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Simplifying 2x2(2y + 4y) = 12 Combine like terms: 2y + 4y = 6y 2x2(6y) = 12 Remove parenthesis around (6y) 2x2 * 6y = 12 Reorder the terms for easier multiplication: 2 * 6x2 * y = 12 Multiply 2 * 6 12x2 * y = 12 Multiply x2 * y 12x2y = 12 Solving 12x2y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12y'. x2 = y-1 Simplifying x2 = y-1 Combine like terms: y-1 + -1y-1 = 0 x2 + -1y-1 = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + -1) = 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 + -1)' equal to zero and attempt to solve: Simplifying x2y + -1 = 0 Reorder the terms: -1 + x2y = 0 Solving -1 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x2y = 0 + 1 x2y = 0 + 1 Combine like terms: 0 + 1 = 1 x2y = 1 Divide each side by 'y'. x2 = y-1 Simplifying x2 = y-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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