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Simplifying 6x2y + 7xy + -5y = 0 Reorder the terms: 7xy + 6x2y + -5y = 0 Solving 7xy + 6x2y + -5y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y'. y(7x + 6x2 + -5) = 0 Factor a trinomial. y((2x + -1)(3x + 5)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(2x + -1)' equal to zero and attempt to solve: Simplifying 2x + -1 = 0 Reorder the terms: -1 + 2x = 0 Solving -1 + 2x = 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 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5Subproblem 3
Set the factor '(3x + 5)' equal to zero and attempt to solve: Simplifying 3x + 5 = 0 Reorder the terms: 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {0.5, -1.666666667}
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