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Simplifying 450a * 700b = 3a2 Reorder the terms for easier multiplication: 450 * 700a * b = 3a2 Multiply 450 * 700 315000a * b = 3a2 Multiply a * b 315000ab = 3a2 Solving 315000ab = 3a2 Solving for variable 'a'. Combine like terms: 3a2 + -3a2 = 0 315000ab + -3a2 = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(105000b + -1a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(105000b + -1a)' equal to zero and attempt to solve: Simplifying 105000b + -1a = 0 Reorder the terms: -1a + 105000b = 0 Solving -1a + 105000b = 0 Move all terms containing a to the left, all other terms to the right. Add '-105000b' to each side of the equation. -1a + 105000b + -105000b = 0 + -105000b Combine like terms: 105000b + -105000b = 0 -1a + 0 = 0 + -105000b -1a = 0 + -105000b Remove the zero: -1a = -105000b Divide each side by '-1'. a = 105000b Simplifying a = 105000bSolution
a = {0, 105000b}
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