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Simplifying 8a2 + 6ab + -5b2 = 0 Reorder the terms: 6ab + 8a2 + -5b2 = 0 Solving 6ab + 8a2 + -5b2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -1b)(4a + 5b) = 0Subproblem 1
Set the factor '(2a + -1b)' equal to zero and attempt to solve: Simplifying 2a + -1b = 0 Solving 2a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 2a + -1b + b = 0 + b Combine like terms: -1b + b = 0 2a + 0 = 0 + b 2a = 0 + b Remove the zero: 2a = b Divide each side by '2'. a = 0.5b Simplifying a = 0.5bSubproblem 2
Set the factor '(4a + 5b)' equal to zero and attempt to solve: Simplifying 4a + 5b = 0 Solving 4a + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 4a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 4a + 0 = 0 + -5b 4a = 0 + -5b Remove the zero: 4a = -5b Divide each side by '4'. a = -1.25b Simplifying a = -1.25bSolution
a = {0.5b, -1.25b}
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