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Simplifying -21x2y2 + 2xy2 + 8y2 = 0 Reorder the terms: 2xy2 + -21x2y2 + 8y2 = 0 Solving 2xy2 + -21x2y2 + 8y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(2x + -21x2 + 8) = 0 Factor a trinomial. y2((-7x + -4)(3x + -2)) = 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 '(-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 '(3x + -2)' equal to zero and attempt to solve: Simplifying 3x + -2 = 0 Reorder the terms: -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-0.5714285714, 0.6666666667}
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