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Simplifying 5abx = 30ac2 Solving 5abx = 30ac2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30ac2' to each side of the equation. 5abx + -30ac2 = 30ac2 + -30ac2 Combine like terms: 30ac2 + -30ac2 = 0 5abx + -30ac2 = 0 Factor out the Greatest Common Factor (GCF), '5a'. 5a(bx + -6c2) = 0 Ignore the factor 5.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 '(bx + -6c2)' equal to zero and attempt to solve: Simplifying bx + -6c2 = 0 Solving bx + -6c2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1bx' to each side of the equation. bx + -1bx + -6c2 = 0 + -1bx Combine like terms: bx + -1bx = 0 0 + -6c2 = 0 + -1bx -6c2 = 0 + -1bx Remove the zero: -6c2 = -1bx Add '6c2' to each side of the equation. -6c2 + 6c2 = -1bx + 6c2 Combine like terms: -6c2 + 6c2 = 0 0 = -1bx + 6c2 Simplifying 0 = -1bx + 6c2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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