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Simplifying 12x3 + 20xy2 + 10x = 0 Reorder the terms: 10x + 20xy2 + 12x3 = 0 Solving 10x + 20xy2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + 10y2 + 6x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5 + 10y2 + 6x2)' equal to zero and attempt to solve: Simplifying 5 + 10y2 + 6x2 = 0 Reorder the terms: 5 + 6x2 + 10y2 = 0 Solving 5 + 6x2 + 10y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 6x2 + -5 + 10y2 = 0 + -5 Reorder the terms: 5 + -5 + 6x2 + 10y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x2 + 10y2 = 0 + -5 6x2 + 10y2 = 0 + -5 Combine like terms: 0 + -5 = -5 6x2 + 10y2 = -5 Add '-10y2' to each side of the equation. 6x2 + 10y2 + -10y2 = -5 + -10y2 Combine like terms: 10y2 + -10y2 = 0 6x2 + 0 = -5 + -10y2 6x2 = -5 + -10y2 Divide each side by '6'. x2 = -0.8333333333 + -1.666666667y2 Simplifying x2 = -0.8333333333 + -1.666666667y2 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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