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Simplifying 70a2 + -20ab + 30ac = 0 Reorder the terms: -20ab + 30ac + 70a2 = 0 Solving -20ab + 30ac + 70a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10a'. 10a(-2b + 3c + 7a) = 0 Ignore the factor 10.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 '(-2b + 3c + 7a)' equal to zero and attempt to solve: Simplifying -2b + 3c + 7a = 0 Reorder the terms: 7a + -2b + 3c = 0 Solving 7a + -2b + 3c = 0 Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 7a + -2b + 2b + 3c = 0 + 2b Combine like terms: -2b + 2b = 0 7a + 0 + 3c = 0 + 2b 7a + 3c = 0 + 2b Remove the zero: 7a + 3c = 2b Add '-3c' to each side of the equation. 7a + 3c + -3c = 2b + -3c Combine like terms: 3c + -3c = 0 7a + 0 = 2b + -3c 7a = 2b + -3c Divide each side by '7'. a = 0.2857142857b + -0.4285714286c Simplifying a = 0.2857142857b + -0.4285714286cSolution
a = {0, 0.2857142857b + -0.4285714286c}
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