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