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Simplifying (100Q + -10Q2) = 10xQ Remove parenthesis around (100Q + -10Q2) 100Q + -10Q2 = 10xQ Solving 100Q + -10Q2 = 10xQ Solving for variable 'Q'. Combine like terms: 10xQ + -10xQ = 0 100Q + -10Q2 + -10xQ = 0 Factor out the Greatest Common Factor (GCF), '10Q'. 10Q(10 + -1Q + -1x) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'Q' equal to zero and attempt to solve: Simplifying Q = 0 Solving Q = 0 Move all terms containing Q to the left, all other terms to the right. Simplifying Q = 0Subproblem 2
Set the factor '(10 + -1Q + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1Q + -1x = 0 Solving 10 + -1Q + -1x = 0 Move all terms containing Q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1Q + -10 + -1x = 0 + -10 Reorder the terms: 10 + -10 + -1Q + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1Q + -1x = 0 + -10 -1Q + -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1Q + -1x = -10 Add 'x' to each side of the equation. -1Q + -1x + x = -10 + x Combine like terms: -1x + x = 0 -1Q + 0 = -10 + x -1Q = -10 + x Divide each side by '-1'. Q = 10 + -1x Simplifying Q = 10 + -1xSolution
Q = {0, 10 + -1x}
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