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Simplifying 5x3 + 75x = x Reorder the terms: 75x + 5x3 = x Solving 75x + 5x3 = x Solving for variable 'x'. Reorder the terms: 75x + -1x + 5x3 = x + -1x Combine like terms: 75x + -1x = 74x 74x + 5x3 = x + -1x Combine like terms: x + -1x = 0 74x + 5x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(74 + 5x2) = 0Subproblem 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 '(74 + 5x2)' equal to zero and attempt to solve: Simplifying 74 + 5x2 = 0 Solving 74 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 5x2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 5x2 = 0 + -74 5x2 = 0 + -74 Combine like terms: 0 + -74 = -74 5x2 = -74 Divide each side by '5'. x2 = -14.8 Simplifying x2 = -14.8 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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