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Simplifying 0 = 20x3 + 30x Reorder the terms: 0 = 30x + 20x3 Solving 0 = 30x + 20x3 Solving for variable 'x'. Remove the zero: -30x + -20x3 = 30x + 20x3 + -30x + -20x3 Reorder the terms: -30x + -20x3 = 30x + -30x + 20x3 + -20x3 Combine like terms: 30x + -30x = 0 -30x + -20x3 = 0 + 20x3 + -20x3 -30x + -20x3 = 20x3 + -20x3 Combine like terms: 20x3 + -20x3 = 0 -30x + -20x3 = 0 Factor out the Greatest Common Factor (GCF), '-10x'. -10x(3 + 2x2) = 0 Ignore the factor -10.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 '(3 + 2x2)' equal to zero and attempt to solve: Simplifying 3 + 2x2 = 0 Solving 3 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x2 = 0 + -3 2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2x2 = -3 Divide each side by '2'. x2 = -1.5 Simplifying x2 = -1.5 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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