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Simplifying 6x3y2 + 14x2y + 2x2 = 0 Reorder the terms: 2x2 + 14x2y + 6x3y2 = 0 Solving 2x2 + 14x2y + 6x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(1 + 7y + 3xy2) = 0 Ignore the factor 2.Subproblem 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 + 7y + 3xy2)' equal to zero and attempt to solve: Simplifying 1 + 7y + 3xy2 = 0 Reorder the terms: 1 + 3xy2 + 7y = 0 Solving 1 + 3xy2 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3xy2 + -1 + 7y = 0 + -1 Reorder the terms: 1 + -1 + 3xy2 + 7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3xy2 + 7y = 0 + -1 3xy2 + 7y = 0 + -1 Combine like terms: 0 + -1 = -1 3xy2 + 7y = -1 Add '-7y' to each side of the equation. 3xy2 + 7y + -7y = -1 + -7y Combine like terms: 7y + -7y = 0 3xy2 + 0 = -1 + -7y 3xy2 = -1 + -7y Divide each side by '3y2'. x = -0.3333333333y-2 + -2.333333333y-1 Simplifying x = -0.3333333333y-2 + -2.333333333y-1Solution
x = {0, -0.3333333333y-2 + -2.333333333y-1}
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