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Simplifying 15x2y + 55xy + -100y = 0 Reorder the terms: 55xy + 15x2y + -100y = 0 Solving 55xy + 15x2y + -100y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(11x + 3x2 + -20) = 0 Factor a trinomial. 5y((3x + -4)(x + 5)) = 0 Ignore the factor 5.Subproblem 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 '(3x + -4)' equal to zero and attempt to solve: Simplifying 3x + -4 = 0 Reorder the terms: -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 3
Set the factor '(x + 5)' equal to zero and attempt to solve: Simplifying x + 5 = 0 Reorder the terms: 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {1.333333333, -5}
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