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Simplifying 100 = 10Q(x) + 5Q(Y) Multiply Q * x 100 = 10xQ + 5Q(Y) Multiply Q * Y 100 = 10xQ + 5QY Reorder the terms: 100 = 5QY + 10xQ Solving 100 = 5QY + 10xQ Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-5QY' to each side of the equation. 100 + -5QY = 5QY + -5QY + 10xQ Combine like terms: 5QY + -5QY = 0 100 + -5QY = 0 + 10xQ 100 + -5QY = 10xQ Add '-10xQ' to each side of the equation. 100 + -5QY + -10xQ = 10xQ + -10xQ Combine like terms: 10xQ + -10xQ = 0 100 + -5QY + -10xQ = 0 Add '-100' to each side of the equation. 100 + -5QY + -100 + -10xQ = 0 + -100 Reorder the terms: 100 + -100 + -5QY + -10xQ = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -5QY + -10xQ = 0 + -100 -5QY + -10xQ = 0 + -100 Combine like terms: 0 + -100 = -100 -5QY + -10xQ = -100 Reorder the terms: 100 + -5QY + -10xQ = -100 + 100 Combine like terms: -100 + 100 = 0 100 + -5QY + -10xQ = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(20 + -1QY + -2xQ) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(20 + -1QY + -2xQ)' equal to zero and attempt to solve: Simplifying 20 + -1QY + -2xQ = 0 Solving 20 + -1QY + -2xQ = 0 Move all terms containing Q to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -1QY + -20 + -2xQ = 0 + -20 Reorder the terms: 20 + -20 + -1QY + -2xQ = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1QY + -2xQ = 0 + -20 -1QY + -2xQ = 0 + -20 Combine like terms: 0 + -20 = -20 -1QY + -2xQ = -20 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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