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Simplifying 8 = 10X(1 + x) 8 = (1 * 10X + x * 10X) 8 = (10X + 10xX) Solving 8 = 10X + 10xX Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. 8 + -10X = 10X + -10X + 10xX Combine like terms: 10X + -10X = 0 8 + -10X = 0 + 10xX 8 + -10X = 10xX Add '-10xX' to each side of the equation. 8 + -10X + -10xX = 10xX + -10xX Combine like terms: 10xX + -10xX = 0 8 + -10X + -10xX = 0 Add '-8' to each side of the equation. 8 + -10X + -8 + -10xX = 0 + -8 Reorder the terms: 8 + -8 + -10X + -10xX = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -10X + -10xX = 0 + -8 -10X + -10xX = 0 + -8 Combine like terms: 0 + -8 = -8 -10X + -10xX = -8 Reorder the terms: 8 + -10X + -10xX = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -10X + -10xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -5X + -5xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -5X + -5xX)' equal to zero and attempt to solve: Simplifying 4 + -5X + -5xX = 0 Solving 4 + -5X + -5xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -5X + -4 + -5xX = 0 + -4 Reorder the terms: 4 + -4 + -5X + -5xX = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5X + -5xX = 0 + -4 -5X + -5xX = 0 + -4 Combine like terms: 0 + -4 = -4 -5X + -5xX = -4 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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