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