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Simplifying 4x2y + -11xy + 7y = 0 Reorder the terms: -11xy + 4x2y + 7y = 0 Solving -11xy + 4x2y + 7y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y'. y(-11x + 4x2 + 7) = 0 Factor a trinomial. y((4x + -7)(x + -1)) = 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 '(4x + -7)' equal to zero and attempt to solve: Simplifying 4x + -7 = 0 Reorder the terms: -7 + 4x = 0 Solving -7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75Subproblem 3
Set the factor '(x + -1)' equal to zero and attempt to solve: Simplifying x + -1 = 0 Reorder the terms: -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 = {1.75, 1}
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