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Simplifying (x2 + -1sa)(4x2 + 3sa) = 0 Reorder the terms: (-1as + x2)(4x2 + 3sa) = 0 Reorder the terms: (-1as + x2)(3as + 4x2) = 0 Multiply (-1as + x2) * (3as + 4x2) (-1as * (3as + 4x2) + x2(3as + 4x2)) = 0 ((3as * -1as + 4x2 * -1as) + x2(3as + 4x2)) = 0 Reorder the terms: ((-4asx2 + -3a2s2) + x2(3as + 4x2)) = 0 ((-4asx2 + -3a2s2) + x2(3as + 4x2)) = 0 (-4asx2 + -3a2s2 + (3as * x2 + 4x2 * x2)) = 0 (-4asx2 + -3a2s2 + (3asx2 + 4x4)) = 0 Reorder the terms: (-4asx2 + 3asx2 + -3a2s2 + 4x4) = 0 Combine like terms: -4asx2 + 3asx2 = -1asx2 (-1asx2 + -3a2s2 + 4x4) = 0 Solving -1asx2 + -3a2s2 + 4x4 = 0 Solving for variable 'a'. Factor a trinomial. (-3as + -4x2)(as + -1x2) = 0Subproblem 1
Set the factor '(-3as + -4x2)' equal to zero and attempt to solve: Simplifying -3as + -4x2 = 0 Solving -3as + -4x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '4x2' to each side of the equation. -3as + -4x2 + 4x2 = 0 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -3as + 0 = 0 + 4x2 -3as = 0 + 4x2 Remove the zero: -3as = 4x2 Divide each side by '-3s'. a = -1.333333333s-1x2 Simplifying a = -1.333333333s-1x2Subproblem 2
Set the factor '(as + -1x2)' equal to zero and attempt to solve: Simplifying as + -1x2 = 0 Solving as + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add 'x2' to each side of the equation. as + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 as + 0 = 0 + x2 as = 0 + x2 Remove the zero: as = x2 Divide each side by 's'. a = s-1x2 Simplifying a = s-1x2Solution
a = {-1.333333333s-1x2, s-1x2}
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