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Simplifying a2 + 6ax + -40x2 = 0 Reorder the terms: 6ax + a2 + -40x2 = 0 Solving 6ax + a2 + -40x2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -4x)(a + 10x) = 0Subproblem 1
Set the factor '(a + -4x)' equal to zero and attempt to solve: Simplifying a + -4x = 0 Solving a + -4x = 0 Move all terms containing a to the left, all other terms to the right. Add '4x' to each side of the equation. a + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 a + 0 = 0 + 4x a = 0 + 4x Remove the zero: a = 4x Simplifying a = 4xSubproblem 2
Set the factor '(a + 10x)' equal to zero and attempt to solve: Simplifying a + 10x = 0 Solving a + 10x = 0 Move all terms containing a to the left, all other terms to the right. Add '-10x' to each side of the equation. a + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 a + 0 = 0 + -10x a = 0 + -10x Remove the zero: a = -10x Simplifying a = -10xSolution
a = {4x, -10x}
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