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Simplifying 28a2 + 5ab + -12b2 = 0 Reorder the terms: 5ab + 28a2 + -12b2 = 0 Solving 5ab + 28a2 + -12b2 = 0 Solving for variable 'a'. Factor a trinomial. (7a + -4b)(4a + 3b) = 0Subproblem 1
Set the factor '(7a + -4b)' equal to zero and attempt to solve: Simplifying 7a + -4b = 0 Solving 7a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 7a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 7a + 0 = 0 + 4b 7a = 0 + 4b Remove the zero: 7a = 4b Divide each side by '7'. a = 0.5714285714b Simplifying a = 0.5714285714bSubproblem 2
Set the factor '(4a + 3b)' equal to zero and attempt to solve: Simplifying 4a + 3b = 0 Solving 4a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 4a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 4a + 0 = 0 + -3b 4a = 0 + -3b Remove the zero: 4a = -3b Divide each side by '4'. a = -0.75b Simplifying a = -0.75bSolution
a = {0.5714285714b, -0.75b}
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