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Simplifying 26x3y4z2 + 14x2y6 = 2x2y4(13z2 + 7y2) Reorder the terms: 14x2y6 + 26x3y4z2 = 2x2y4(13z2 + 7y2) Reorder the terms: 14x2y6 + 26x3y4z2 = 2x2y4(7y2 + 13z2) 14x2y6 + 26x3y4z2 = (7y2 * 2x2y4 + 13z2 * 2x2y4) Reorder the terms: 14x2y6 + 26x3y4z2 = (26x2y4z2 + 14x2y6) 14x2y6 + 26x3y4z2 = (26x2y4z2 + 14x2y6) Add '-14x2y6' to each side of the equation. 14x2y6 + -14x2y6 + 26x3y4z2 = 26x2y4z2 + 14x2y6 + -14x2y6 Combine like terms: 14x2y6 + -14x2y6 = 0 0 + 26x3y4z2 = 26x2y4z2 + 14x2y6 + -14x2y6 26x3y4z2 = 26x2y4z2 + 14x2y6 + -14x2y6 Combine like terms: 14x2y6 + -14x2y6 = 0 26x3y4z2 = 26x2y4z2 + 0 26x3y4z2 = 26x2y4z2 Solving 26x3y4z2 = 26x2y4z2 Solving for variable 'x'. Reorder the terms: -26x2y4z2 + 26x3y4z2 = 26x2y4z2 + -26x2y4z2 Combine like terms: 26x2y4z2 + -26x2y4z2 = 0 -26x2y4z2 + 26x3y4z2 = 0 Factor out the Greatest Common Factor (GCF), '26x2y4z2'. 26x2y4z2(-1 + x) = 0 Ignore the factor 26.Subproblem 1
Set the factor 'x2y4z2' equal to zero and attempt to solve: Simplifying x2y4z2 = 0 Solving x2y4z2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y4z2 = 0 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {1}
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