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Simplifying X * 2x * 4x = 1000 Reorder the terms for easier multiplication: 2 * 4X * x * x = 1000 Multiply 2 * 4 8X * x * x = 1000 Multiply X * x 8xX * x = 1000 Multiply xX * x 8x2X = 1000 Solving 8x2X = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '8X'. x2 = 125X-1 Simplifying x2 = 125X-1 Reorder the terms: -125X-1 + x2 = 125X-1 + -125X-1 Combine like terms: 125X-1 + -125X-1 = 0 -125X-1 + x2 = 0 Factor out the Greatest Common Factor (GCF), 'X-1'. X-1(-125 + x2X) = 0Subproblem 1
Set the factor 'X-1' equal to zero and attempt to solve: Simplifying X-1 = 0 Solving X-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1X-1' to each side of the equation. X-1 + -1X-1 = 0 + -1X-1 Remove the zero: 0 = -1X-1 Simplifying 0 = -1X-1 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 '(-125 + x2X)' equal to zero and attempt to solve: Simplifying -125 + x2X = 0 Solving -125 + x2X = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + x2X = 0 + 125 Combine like terms: -125 + 125 = 0 0 + x2X = 0 + 125 x2X = 0 + 125 Combine like terms: 0 + 125 = 125 x2X = 125 Divide each side by 'X'. x2 = 125X-1 Simplifying x2 = 125X-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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