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Simplifying 28ab + -35a2 + 7a = 0 Reorder the terms: 7a + 28ab + -35a2 = 0 Solving 7a + 28ab + -35a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a'. 7a(1 + 4b + -5a) = 0 Ignore the factor 7.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 '(1 + 4b + -5a)' equal to zero and attempt to solve: Simplifying 1 + 4b + -5a = 0 Reorder the terms: 1 + -5a + 4b = 0 Solving 1 + -5a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5a + -1 + 4b = 0 + -1 Reorder the terms: 1 + -1 + -5a + 4b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5a + 4b = 0 + -1 -5a + 4b = 0 + -1 Combine like terms: 0 + -1 = -1 -5a + 4b = -1 Add '-4b' to each side of the equation. -5a + 4b + -4b = -1 + -4b Combine like terms: 4b + -4b = 0 -5a + 0 = -1 + -4b -5a = -1 + -4b Divide each side by '-5'. a = 0.2 + 0.8b Simplifying a = 0.2 + 0.8bSolution
a = {0, 0.2 + 0.8b}
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