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Simplifying 20x3 = -25x Solving 20x3 = -25x Solving for variable 'x'. Reorder the terms: 25x + 20x3 = -25x + 25x Combine like terms: -25x + 25x = 0 25x + 20x3 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(5 + 4x2) = 0 Ignore the factor 5.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 + 4x2)' equal to zero and attempt to solve: Simplifying 5 + 4x2 = 0 Solving 5 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x2 = 0 + -5 4x2 = 0 + -5 Combine like terms: 0 + -5 = -5 4x2 = -5 Divide each side by '4'. x2 = -1.25 Simplifying x2 = -1.25 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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