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Simplifying 5y2 + 2y + 3 = 0 Reorder the terms: 3 + 2y + 5y2 = 0 Solving 3 + 2y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.6 + 0.4y + y2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.4y + -0.6 + y2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.4y + y2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.4y + y2 = 0 + -0.6 0.4y + y2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.4y + y2 = -0.6 The y term is 0.4y. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4y + 0.04 + y2 = -0.6 + 0.04 Reorder the terms: 0.04 + 0.4y + y2 = -0.6 + 0.04 Combine like terms: -0.6 + 0.04 = -0.56 0.04 + 0.4y + y2 = -0.56 Factor a perfect square on the left side: (y + 0.2)(y + 0.2) = -0.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
| 25=5/x+15/y | | 3(7x-7)=21x-21 | | y-2=-3/8(16) | | -2y-10=9y+12 | | i^3+27=0 | | 17x-7=5x+14x | | 5x+6=13x-56 | | 25=5(y)+15(y) | | 5m(m-2a-1)-5m^2+2a(5m+3)=10 | | x^3(x^3-26)-27=0 | | -7x^2+6+3=0 | | 2x-3-7x=4 | | 2Y+20X=10 | | 2(3x+3)=22 | | 7(2x-5)-13x=4 | | 18-7p=6-5p | | 21-9z=5-7z | | 3-3x=-5 | | 0.1/(6*x)=4/3 | | (3x)-3=-5 | | (-6.25)z=-50 | | (-61/4)z=-50 | | 3(-1)-4y=1 | | 4a-9a-10+13= | | 10x^2-50x= | | -0.5z=5.55 | | 5x-8=4x+4 | | 10c+8c+15=2c-40 | | x(x)+2x-116=0 | | .00000413= | | xsquared-6x+8=0 | | (F-32)0.56=110 |