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Simplifying 30a2b + 49ab + -49b = 0 Reorder the terms: 49ab + 30a2b + -49b = 0 Solving 49ab + 30a2b + -49b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(49a + 30a2 + -49) = 0 Factor a trinomial. b((10a + -7)(3a + 7)) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(10a + -7)' equal to zero and attempt to solve: Simplifying 10a + -7 = 0 Reorder the terms: -7 + 10a = 0 Solving -7 + 10a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 10a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 10a = 0 + 7 10a = 0 + 7 Combine like terms: 0 + 7 = 7 10a = 7 Divide each side by '10'. a = 0.7 Simplifying a = 0.7Subproblem 3
Set the factor '(3a + 7)' equal to zero and attempt to solve: Simplifying 3a + 7 = 0 Reorder the terms: 7 + 3a = 0 Solving 7 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 0 + -7 3a = 0 + -7 Combine like terms: 0 + -7 = -7 3a = -7 Divide each side by '3'. a = -2.333333333 Simplifying a = -2.333333333Solution
a = {0.7, -2.333333333}
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