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Simplifying 10a(12 + -41b) + -10c = 0 (12 * 10a + -41b * 10a) + -10c = 0 (120a + -410ab) + -10c = 0 Solving 120a + -410ab + -10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10c' to each side of the equation. 120a + -410ab + -10c + 10c = 0 + 10c Combine like terms: -10c + 10c = 0 120a + -410ab + 0 = 0 + 10c 120a + -410ab = 0 + 10c Remove the zero: 120a + -410ab = 10c Combine like terms: 10c + -10c = 0 120a + -410ab + -10c = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(12a + -41ab + -1c) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(12a + -41ab + -1c)' equal to zero and attempt to solve: Simplifying 12a + -41ab + -1c = 0 Solving 12a + -41ab + -1c = 0 Move all terms containing a to the left, all other terms to the right. Add 'c' to each side of the equation. 12a + -41ab + -1c + c = 0 + c Combine like terms: -1c + c = 0 12a + -41ab + 0 = 0 + c 12a + -41ab = 0 + c Remove the zero: 12a + -41ab = c 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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