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