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Simplifying 7a2 + -9ab + 2a = 0 Reorder the terms: 2a + -9ab + 7a2 = 0 Solving 2a + -9ab + 7a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(2 + -9b + 7a) = 0Subproblem 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 '(2 + -9b + 7a)' equal to zero and attempt to solve: Simplifying 2 + -9b + 7a = 0 Reorder the terms: 2 + 7a + -9b = 0 Solving 2 + 7a + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 7a + -2 + -9b = 0 + -2 Reorder the terms: 2 + -2 + 7a + -9b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7a + -9b = 0 + -2 7a + -9b = 0 + -2 Combine like terms: 0 + -2 = -2 7a + -9b = -2 Add '9b' to each side of the equation. 7a + -9b + 9b = -2 + 9b Combine like terms: -9b + 9b = 0 7a + 0 = -2 + 9b 7a = -2 + 9b Divide each side by '7'. a = -0.2857142857 + 1.285714286b Simplifying a = -0.2857142857 + 1.285714286bSolution
a = {0, -0.2857142857 + 1.285714286b}
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