If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + -5 + -1y = 0 Reorder the terms: -5 + -1y + y2 = 0 Solving -5 + -1y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '5' to each side of the equation. -5 + -1y + 5 + y2 = 0 + 5 Reorder the terms: -5 + 5 + -1y + y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y + y2 = 0 + 5 -1y + y2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1y + y2 = 5 The y term is -1y. 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. -1y + 0.25 + y2 = 5 + 0.25 Reorder the terms: 0.25 + -1y + y2 = 5 + 0.25 Combine like terms: 5 + 0.25 = 5.25 0.25 + -1y + y2 = 5.25 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = 5.25 Calculate the square root of the right side: 2.291287847 Break this problem into two subproblems by setting (y + -0.5) equal to 2.291287847 and -2.291287847.Subproblem 1
y + -0.5 = 2.291287847 Simplifying y + -0.5 = 2.291287847 Reorder the terms: -0.5 + y = 2.291287847 Solving -0.5 + y = 2.291287847 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = 2.291287847 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = 2.291287847 + 0.5 y = 2.291287847 + 0.5 Combine like terms: 2.291287847 + 0.5 = 2.791287847 y = 2.791287847 Simplifying y = 2.791287847Subproblem 2
y + -0.5 = -2.291287847 Simplifying y + -0.5 = -2.291287847 Reorder the terms: -0.5 + y = -2.291287847 Solving -0.5 + y = -2.291287847 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = -2.291287847 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = -2.291287847 + 0.5 y = -2.291287847 + 0.5 Combine like terms: -2.291287847 + 0.5 = -1.791287847 y = -1.791287847 Simplifying y = -1.791287847Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.791287847, -1.791287847}
| 5x^2+32=0 | | 23+3y-4=14y-13-3y | | x+24+3x=-16-3x-23 | | -8-5=5x+2-4x | | 3(2n+4)=2(3n+6) | | -4x-4x=23-7 | | -9z-16=-7z | | 0.7(n-15)=1.2(n-9) | | 0.1v-1.1=-1.3v+3.1 | | (2x+7)(3x-5)=0 | | 2-15= | | 9+6(-4x-1)=6(-8x-3)-4 | | 8u-11=2u-5 | | 6(3+y)+4y=13 | | -3x=x-4(2+x) | | -9x+10=-(9x-10) | | 4z+12z=144 | | 3z=12-21 | | ln(x+1)+ln(x-1)=ln(3) | | -6t-10=-2t+2 | | 9w-11=7w+1 | | -5-3(6y+3)=-4(-4y+3)-1 | | -2(7-2x)=4x+8 | | 9x-16x=45-60 | | 2(7-2x)=4x+8 | | 5w-11w=36 | | 6-2*(5-1)= | | 9x=3(x+162) | | 2x^2+kx-14=(x+2)(2x-7) | | 2x^2+4x-51=0 | | 5y=4(y+10) | | 4(1.5y-1.25)+6y=-5 |