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Simplifying 20x4 = 6x3 Solving 20x4 = 6x3 Solving for variable 'x'. Reorder the terms: -6x3 + 20x4 = 6x3 + -6x3 Combine like terms: 6x3 + -6x3 = 0 -6x3 + 20x4 = 0 Factor out the Greatest Common Factor (GCF), '2x3'. 2x3(-3 + 10x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + 10x)' equal to zero and attempt to solve: Simplifying -3 + 10x = 0 Solving -3 + 10x = 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 + 10x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 0 + 3 10x = 0 + 3 Combine like terms: 0 + 3 = 3 10x = 3 Divide each side by '10'. x = 0.3 Simplifying x = 0.3Solution
x = {0.3}
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