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Simplifying 8x2y2 + -4x2y + x2 = 0 Reorder the terms: x2 + -4x2y + 8x2y2 = 0 Solving x2 + -4x2y + 8x2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x2'. x2(1 + -4y + 8y2) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + -4y + 8y2)' equal to zero and attempt to solve: Simplifying 1 + -4y + 8y2 = 0 Solving 1 + -4y + 8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4y + -1 + 8y2 = 0 + -1 Reorder the terms: 1 + -1 + -4y + 8y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y + 8y2 = 0 + -1 -4y + 8y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4y + 8y2 = -1 Add '4y' to each side of the equation. -4y + 4y + 8y2 = -1 + 4y Combine like terms: -4y + 4y = 0 0 + 8y2 = -1 + 4y 8y2 = -1 + 4y Add '-8y2' to each side of the equation. 8y2 + -8y2 = -1 + 4y + -8y2 Combine like terms: 8y2 + -8y2 = 0 0 = -1 + 4y + -8y2 Simplifying 0 = -1 + 4y + -8y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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