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Simplifying x2 + 7x + 31 = 1 Reorder the terms: 31 + 7x + x2 = 1 Solving 31 + 7x + x2 = 1 Solving for variable 'x'. Reorder the terms: 31 + -1 + 7x + x2 = 1 + -1 Combine like terms: 31 + -1 = 30 30 + 7x + x2 = 1 + -1 Combine like terms: 1 + -1 = 0 30 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + 7x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + 7x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7x + x2 = 0 + -30 7x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 7x + x2 = -30 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -30 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -30 + 12.25 Combine like terms: -30 + 12.25 = -17.75 12.25 + 7x + x2 = -17.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
| 3-4+5*6-(-4)= | | 2x+6x-7= | | 56x^2=160x+256 | | 7x-3x+9-5= | | 10(c)+100=12(c) | | 19.5(13.3-4.4x)=7.2(0.8x-11.6) | | 29/4+6t=3t/4-1/4(-9t-1) | | 149+h=(15)(13) | | M-4+5=-11 | | -2(-1/4+10p/3)=-13/2-5p/3 | | 72-h=(9)(6) | | .0833(156x-17)=1.0833(18+12x) | | 2b-3=3-9 | | 9x+7-2x= | | .0833(156x-17)=1.08(18+12x) | | 10+h=(4)(4) | | 30-h=(5)(4) | | 2x+9x+2= | | .0833(156x-17)=1.04(18+12x) | | .0833(156x-17)=2684.3769(18+12x) | | 43-n+8=23 | | .0833(156x-17)=.025(18+12x) | | .0833(156x-17)=.25(18+12x) | | .0833(156x-17)=54(18+12x) | | .0833(156x-17)=1(18+12x) | | .0833(156x-17)=3.47(18+12x) | | 4x+3y+7z=28 | | .0833(156x-17)=3.58(18+12x) | | -2000+(-800x)=-4200 | | 30-b=6 | | 11y^2+10y= | | 18x^2-12x+2=7 |