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Simplifying 18ab2 + -4ac + 2ab2 + -10aC = 0 Reorder the terms: -10aC + 18ab2 + 2ab2 + -4ac = 0 Combine like terms: 18ab2 + 2ab2 = 20ab2 -10aC + 20ab2 + -4ac = 0 Solving -10aC + 20ab2 + -4ac = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-5C + 10b2 + -2c) = 0 Ignore the factor 2.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 '(-5C + 10b2 + -2c)' equal to zero and attempt to solve: Simplifying -5C + 10b2 + -2c = 0 Solving -5C + 10b2 + -2c = 0 Move all terms containing a to the left, all other terms to the right. Add '5C' to each side of the equation. -5C + 10b2 + 5C + -2c = 0 + 5C Reorder the terms: -5C + 5C + 10b2 + -2c = 0 + 5C Combine like terms: -5C + 5C = 0 0 + 10b2 + -2c = 0 + 5C 10b2 + -2c = 0 + 5C Remove the zero: 10b2 + -2c = 5C Add '-10b2' to each side of the equation. 10b2 + -10b2 + -2c = 5C + -10b2 Combine like terms: 10b2 + -10b2 = 0 0 + -2c = 5C + -10b2 -2c = 5C + -10b2 Add '2c' to each side of the equation. -2c + 2c = 5C + -10b2 + 2c Combine like terms: -2c + 2c = 0 0 = 5C + -10b2 + 2c Simplifying 0 = 5C + -10b2 + 2c 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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