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Simplifying 2n2 + n + 2 = 0 Reorder the terms: 2 + n + 2n2 = 0 Solving 2 + n + 2n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1 + 0.5n + n2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.5n + -1 + n2 = 0 + -1 Reorder the terms: 1 + -1 + 0.5n + n2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5n + n2 = 0 + -1 0.5n + n2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.5n + n2 = -1 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5n + 0.25 + n2 = -1 + 0.25 Reorder the terms: 0.25 + 0.5n + n2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + 0.5n + n2 = -0.75 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
| 4r-6=2r+8 | | X^2-4x+5+y^2=16 | | X-1.7=2.8 | | 6/15=14/q | | -2h=-4 | | cox^2x=4/15 | | .13/0.2 | | 4x-3+3x=33 | | 16/15=14/q | | -19=4y-7 | | 20/26=30/k | | -5(w-5)=60 | | -2y+3=-6 | | 7v-12=30 | | 10/4=15/v | | x^2-6+3=0 | | 16/(-4)= | | -6x(-9)= | | 15=12logx | | 39-40= | | 2x-5=7x-13 | | -40+(-54)= | | 38=-14+19a | | 35+(-40)= | | .4x=32 | | 17x-7=4x | | 32=.4x | | S+11=11 | | 25x-1=30 | | 6x-2/4=x2 | | P^2timesp^5= | | 0.75(r+0.444)=2.75 |