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Simplifying 4x2y3 + 2(3x2y3 + 1) = 0 Reorder the terms: 4x2y3 + 2(1 + 3x2y3) = 0 4x2y3 + (1 * 2 + 3x2y3 * 2) = 0 4x2y3 + (2 + 6x2y3) = 0 Reorder the terms: 2 + 4x2y3 + 6x2y3 = 0 Combine like terms: 4x2y3 + 6x2y3 = 10x2y3 2 + 10x2y3 = 0 Solving 2 + 10x2y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x2y3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10x2y3 = 0 + -2 10x2y3 = 0 + -2 Combine like terms: 0 + -2 = -2 10x2y3 = -2 Divide each side by '10y3'. x2 = -0.2y-3 Simplifying x2 = -0.2y-3 Combine like terms: -0.2y-3 + 0.2y-3 = 0.0 x2 + 0.2y-3 = 0.0 Factor out the Greatest Common Factor (GCF), 'y-3'. y-3(x2y3 + 0.2) = 0.0Subproblem 1
Set the factor 'y-3' equal to zero and attempt to solve: Simplifying y-3 = 0 Solving y-3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-3' to each side of the equation. y-3 + -1y-3 = 0 + -1y-3 Remove the zero: 0 = -1y-3 Simplifying 0 = -1y-3 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 '(x2y3 + 0.2)' equal to zero and attempt to solve: Simplifying x2y3 + 0.2 = 0 Reorder the terms: 0.2 + x2y3 = 0 Solving 0.2 + x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x2y3 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x2y3 = 0 + -0.2 x2y3 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 x2y3 = -0.2 Divide each side by 'y3'. x2 = -0.2y-3 Simplifying x2 = -0.2y-3 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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