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Simplifying 6a2 + -1ax + -15x2 = 0 Reorder the terms: -1ax + 6a2 + -15x2 = 0 Solving -1ax + 6a2 + -15x2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -5x)(2a + 3x) = 0Subproblem 1
Set the factor '(3a + -5x)' equal to zero and attempt to solve: Simplifying 3a + -5x = 0 Solving 3a + -5x = 0 Move all terms containing a to the left, all other terms to the right. Add '5x' to each side of the equation. 3a + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 3a + 0 = 0 + 5x 3a = 0 + 5x Remove the zero: 3a = 5x Divide each side by '3'. a = 1.666666667x Simplifying a = 1.666666667xSubproblem 2
Set the factor '(2a + 3x)' equal to zero and attempt to solve: Simplifying 2a + 3x = 0 Solving 2a + 3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. 2a + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 2a + 0 = 0 + -3x 2a = 0 + -3x Remove the zero: 2a = -3x Divide each side by '2'. a = -1.5x Simplifying a = -1.5xSolution
a = {1.666666667x, -1.5x}
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