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Simplifying 3x2 + -15x2y + 12x3y3 = 0 Solving 3x2 + -15x2y + 12x3y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(1 + -5y + 4xy3) = 0 Ignore the factor 3.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 + -5y + 4xy3)' equal to zero and attempt to solve: Simplifying 1 + -5y + 4xy3 = 0 Reorder the terms: 1 + 4xy3 + -5y = 0 Solving 1 + 4xy3 + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4xy3 + -1 + -5y = 0 + -1 Reorder the terms: 1 + -1 + 4xy3 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4xy3 + -5y = 0 + -1 4xy3 + -5y = 0 + -1 Combine like terms: 0 + -1 = -1 4xy3 + -5y = -1 Add '5y' to each side of the equation. 4xy3 + -5y + 5y = -1 + 5y Combine like terms: -5y + 5y = 0 4xy3 + 0 = -1 + 5y 4xy3 = -1 + 5y Divide each side by '4y3'. x = -0.25y-3 + 1.25y-2 Simplifying x = -0.25y-3 + 1.25y-2Solution
x = {0, -0.25y-3 + 1.25y-2}
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