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Simplifying (x2y4 + 7) + (5x2y4 + -4) = z Reorder the terms: (7 + x2y4) + (5x2y4 + -4) = z Remove parenthesis around (7 + x2y4) 7 + x2y4 + (5x2y4 + -4) = z Reorder the terms: 7 + x2y4 + (-4 + 5x2y4) = z Remove parenthesis around (-4 + 5x2y4) 7 + x2y4 + -4 + 5x2y4 = z Reorder the terms: 7 + -4 + x2y4 + 5x2y4 = z Combine like terms: 7 + -4 = 3 3 + x2y4 + 5x2y4 = z Combine like terms: x2y4 + 5x2y4 = 6x2y4 3 + 6x2y4 = z Solving 3 + 6x2y4 = z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6x2y4 = -3 + z Combine like terms: 3 + -3 = 0 0 + 6x2y4 = -3 + z 6x2y4 = -3 + z Divide each side by '6y4'. x2 = -0.5y-4 + 0.1666666667y-4z Simplifying x2 = -0.5y-4 + 0.1666666667y-4z Reorder the terms: x2 + 0.5y-4 + -0.1666666667y-4z = -0.5y-4 + 0.5y-4 + 0.1666666667y-4z + -0.1666666667y-4z Combine like terms: -0.5y-4 + 0.5y-4 = 0.0 x2 + 0.5y-4 + -0.1666666667y-4z = 0.0 + 0.1666666667y-4z + -0.1666666667y-4z x2 + 0.5y-4 + -0.1666666667y-4z = 0.1666666667y-4z + -0.1666666667y-4z Combine like terms: 0.1666666667y-4z + -0.1666666667y-4z = 0.0000000000 x2 + 0.5y-4 + -0.1666666667y-4z = 0.0000000000 Factor out the Greatest Common Factor (GCF), 'y-4'. y-4(x2y4 + 0.5 + -0.1666666667z) = 0.0000000000Subproblem 1
Set the factor 'y-4' equal to zero and attempt to solve: Simplifying y-4 = 0 Solving y-4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-4' to each side of the equation. y-4 + -1y-4 = 0 + -1y-4 Remove the zero: 0 = -1y-4 Simplifying 0 = -1y-4 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 '(x2y4 + 0.5 + -0.1666666667z)' equal to zero and attempt to solve: Simplifying x2y4 + 0.5 + -0.1666666667z = 0 Reorder the terms: 0.5 + x2y4 + -0.1666666667z = 0 Solving 0.5 + x2y4 + -0.1666666667z = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + x2y4 + -0.5 + -0.1666666667z = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + x2y4 + -0.1666666667z = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x2y4 + -0.1666666667z = 0 + -0.5 x2y4 + -0.1666666667z = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 x2y4 + -0.1666666667z = -0.5 Add '0.1666666667z' to each side of the equation. x2y4 + -0.1666666667z + 0.1666666667z = -0.5 + 0.1666666667z Combine like terms: -0.1666666667z + 0.1666666667z = 0.0000000000 x2y4 + 0.0000000000 = -0.5 + 0.1666666667z x2y4 = -0.5 + 0.1666666667z Divide each side by 'y4'. x2 = -0.5y-4 + 0.1666666667y-4z Simplifying x2 = -0.5y-4 + 0.1666666667y-4z 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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