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Simplifying 35a2b2 + -13ab2 + -4b2 = 0 Reorder the terms: -13ab2 + 35a2b2 + -4b2 = 0 Solving -13ab2 + 35a2b2 + -4b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b2'. b2(-13a + 35a2 + -4) = 0 Factor a trinomial. b2((7a + -4)(5a + 1)) = 0Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. b2 + -1b2 = 0 + -1b2 Remove the zero: 0 = -1b2 Simplifying 0 = -1b2 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 '(7a + -4)' equal to zero and attempt to solve: Simplifying 7a + -4 = 0 Reorder the terms: -4 + 7a = 0 Solving -4 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7a = 0 + 4 7a = 0 + 4 Combine like terms: 0 + 4 = 4 7a = 4 Divide each side by '7'. a = 0.5714285714 Simplifying a = 0.5714285714Subproblem 3
Set the factor '(5a + 1)' equal to zero and attempt to solve: Simplifying 5a + 1 = 0 Reorder the terms: 1 + 5a = 0 Solving 1 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = 0 + -1 5a = 0 + -1 Combine like terms: 0 + -1 = -1 5a = -1 Divide each side by '5'. a = -0.2 Simplifying a = -0.2Solution
a = {0.5714285714, -0.2}
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