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Simplifying 4x2y2 + -1xy2 + -105y2 = 0 Reorder the terms: -1xy2 + 4x2y2 + -105y2 = 0 Solving -1xy2 + 4x2y2 + -105y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-1x + 4x2 + -105) = 0 Factor a trinomial. y2((4x + -21)(x + 5)) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 + -21)' equal to zero and attempt to solve: Simplifying 4x + -21 = 0 Reorder the terms: -21 + 4x = 0 Solving -21 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 4x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 0 + 21 4x = 0 + 21 Combine like terms: 0 + 21 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25Subproblem 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 = {5.25, -5}
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