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Simplifying 200 = X(5x + -10) Reorder the terms: 200 = X(-10 + 5x) 200 = (-10 * X + 5x * X) 200 = (-10X + 5xX) Solving 200 = -10X + 5xX 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. 200 + 10X = -10X + 10X + 5xX Combine like terms: -10X + 10X = 0 200 + 10X = 0 + 5xX 200 + 10X = 5xX Add '-5xX' to each side of the equation. 200 + 10X + -5xX = 5xX + -5xX Combine like terms: 5xX + -5xX = 0 200 + 10X + -5xX = 0 Add '-200' to each side of the equation. 200 + 10X + -200 + -5xX = 0 + -200 Reorder the terms: 200 + -200 + 10X + -5xX = 0 + -200 Combine like terms: 200 + -200 = 0 0 + 10X + -5xX = 0 + -200 10X + -5xX = 0 + -200 Combine like terms: 0 + -200 = -200 10X + -5xX = -200 Reorder the terms: 200 + 10X + -5xX = -200 + 200 Combine like terms: -200 + 200 = 0 200 + 10X + -5xX = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(40 + 2X + -1xX) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(40 + 2X + -1xX)' equal to zero and attempt to solve: Simplifying 40 + 2X + -1xX = 0 Solving 40 + 2X + -1xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 2X + -40 + -1xX = 0 + -40 Reorder the terms: 40 + -40 + 2X + -1xX = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 2X + -1xX = 0 + -40 2X + -1xX = 0 + -40 Combine like terms: 0 + -40 = -40 2X + -1xX = -40 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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