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Simplifying 14x7y4 + -31x6y4 + 6x5y4 = 0 Reorder the terms: 6x5y4 + -31x6y4 + 14x7y4 = 0 Solving 6x5y4 + -31x6y4 + 14x7y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x5y4'. x5y4(6 + -31x + 14x2) = 0 Factor a trinomial. x5y4((3 + -14x)(2 + -1x)) = 0Subproblem 1
Set the factor 'x5y4' equal to zero and attempt to solve: Simplifying x5y4 = 0 Solving x5y4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5y4 = 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 '(3 + -14x)' equal to zero and attempt to solve: Simplifying 3 + -14x = 0 Solving 3 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -14x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = 0 + -3 -14x = 0 + -3 Combine like terms: 0 + -3 = -3 -14x = -3 Divide each side by '-14'. x = 0.2142857143 Simplifying x = 0.2142857143Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.2142857143, 2}
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