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Simplifying 5ax + 13a2 + -8x2 = 0 Solving 5ax + 13a2 + -8x2 = 0 Solving for variable 'a'. Factor a trinomial. (13a + -8x)(a + x) = 0Subproblem 1
Set the factor '(13a + -8x)' equal to zero and attempt to solve: Simplifying 13a + -8x = 0 Solving 13a + -8x = 0 Move all terms containing a to the left, all other terms to the right. Add '8x' to each side of the equation. 13a + -8x + 8x = 0 + 8x Combine like terms: -8x + 8x = 0 13a + 0 = 0 + 8x 13a = 0 + 8x Remove the zero: 13a = 8x Divide each side by '13'. a = 0.6153846154x Simplifying a = 0.6153846154xSubproblem 2
Set the factor '(a + x)' equal to zero and attempt to solve: Simplifying a + x = 0 Solving a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 a + 0 = 0 + -1x a = 0 + -1x Remove the zero: a = -1x Simplifying a = -1xSolution
a = {0.6153846154x, -1x}
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