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Simplifying X = (0.085) * x(-0.25X) Remove parenthesis around (-0.25X) X = 0.085x * -0.25X Reorder the terms for easier multiplication: X = 0.085 * -0.25x * X Multiply 0.085 * -0.25 X = -0.02125x * X Multiply x * X X = -0.02125xX Solving X = -0.02125xX Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.02125xX' to each side of the equation. X + 0.02125xX = -0.02125xX + 0.02125xX Combine like terms: -0.02125xX + 0.02125xX = 0.00000 X + 0.02125xX = 0.00000 Factor out the Greatest Common Factor (GCF), 'X'. X(1 + 0.02125x) = 0.00000Subproblem 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 '(1 + 0.02125x)' equal to zero and attempt to solve: Simplifying 1 + 0.02125x = 0 Solving 1 + 0.02125x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.02125x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.02125x = 0 + -1 0.02125x = 0 + -1 Combine like terms: 0 + -1 = -1 0.02125x = -1 Add '-0.02125x' to each side of the equation. 0.02125x + -0.02125x = -1 + -0.02125x Combine like terms: 0.02125x + -0.02125x = 0.00000 0.00000 = -1 + -0.02125x Simplifying 0.00000 = -1 + -0.02125x 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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