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Simplifying -3x2y6(5y4 + -7x + 2) = 0 Reorder the terms: -3x2y6(2 + -7x + 5y4) = 0 (2 * -3x2y6 + -7x * -3x2y6 + 5y4 * -3x2y6) = 0 Reorder the terms: (-6x2y6 + -15x2y10 + 21x3y6) = 0 (-6x2y6 + -15x2y10 + 21x3y6) = 0 Solving -6x2y6 + -15x2y10 + 21x3y6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y6'. 3x2y6(-2 + -5y4 + 7x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y6' equal to zero and attempt to solve: Simplifying x2y6 = 0 Solving x2y6 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y6 = 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 '(-2 + -5y4 + 7x)' equal to zero and attempt to solve: Simplifying -2 + -5y4 + 7x = 0 Reorder the terms: -2 + 7x + -5y4 = 0 Solving -2 + 7x + -5y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 7x + 2 + -5y4 = 0 + 2 Reorder the terms: -2 + 2 + 7x + -5y4 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7x + -5y4 = 0 + 2 7x + -5y4 = 0 + 2 Combine like terms: 0 + 2 = 2 7x + -5y4 = 2 Add '5y4' to each side of the equation. 7x + -5y4 + 5y4 = 2 + 5y4 Combine like terms: -5y4 + 5y4 = 0 7x + 0 = 2 + 5y4 7x = 2 + 5y4 Divide each side by '7'. x = 0.2857142857 + 0.7142857143y4 Simplifying x = 0.2857142857 + 0.7142857143y4Solution
x = {0.2857142857 + 0.7142857143y4}
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