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Simplifying 5x2 + -2ax + -3a2 = 0 Reorder the terms: -2ax + -3a2 + 5x2 = 0 Solving -2ax + -3a2 + 5x2 = 0 Solving for variable 'a'. Factor a trinomial. (-3a + -5x)(a + -1x) = 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 '(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 = {-1.666666667x, x}
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