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Simplifying a2 + -4ax + -45x2 = 0 Reorder the terms: -4ax + a2 + -45x2 = 0 Solving -4ax + a2 + -45x2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -9x)(a + 5x) = 0Subproblem 1
Set the factor '(a + -9x)' equal to zero and attempt to solve: Simplifying a + -9x = 0 Solving a + -9x = 0 Move all terms containing a to the left, all other terms to the right. Add '9x' to each side of the equation. a + -9x + 9x = 0 + 9x Combine like terms: -9x + 9x = 0 a + 0 = 0 + 9x a = 0 + 9x Remove the zero: a = 9x Simplifying a = 9xSubproblem 2
Set the factor '(a + 5x)' equal to zero and attempt to solve: Simplifying a + 5x = 0 Solving a + 5x = 0 Move all terms containing a to the left, all other terms to the right. Add '-5x' to each side of the equation. a + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 a + 0 = 0 + -5x a = 0 + -5x Remove the zero: a = -5x Simplifying a = -5xSolution
a = {9x, -5x}
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