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Simplifying 28x2y + 180xy + -112y = 0 Reorder the terms: 180xy + 28x2y + -112y = 0 Solving 180xy + 28x2y + -112y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(45x + 7x2 + -28) = 0 Factor a trinomial. 4y((7x + -4)(x + 7)) = 0 Ignore the factor 4.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 '(7x + -4)' equal to zero and attempt to solve: Simplifying 7x + -4 = 0 Reorder the terms: -4 + 7x = 0 Solving -4 + 7x = 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 + 7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 0 + 4 7x = 0 + 4 Combine like terms: 0 + 4 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714Subproblem 3
Set the factor '(x + 7)' equal to zero and attempt to solve: Simplifying x + 7 = 0 Reorder the terms: 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0.5714285714, -7}
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