If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 18y + 32 = 226 Reorder the terms: 32 + 18y + y2 = 226 Solving 32 + 18y + y2 = 226 Solving for variable 'y'. Reorder the terms: 32 + -226 + 18y + y2 = 226 + -226 Combine like terms: 32 + -226 = -194 -194 + 18y + y2 = 226 + -226 Combine like terms: 226 + -226 = 0 -194 + 18y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '194' to each side of the equation. -194 + 18y + 194 + y2 = 0 + 194 Reorder the terms: -194 + 194 + 18y + y2 = 0 + 194 Combine like terms: -194 + 194 = 0 0 + 18y + y2 = 0 + 194 18y + y2 = 0 + 194 Combine like terms: 0 + 194 = 194 18y + y2 = 194 The y term is 18y. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18y + 81 + y2 = 194 + 81 Reorder the terms: 81 + 18y + y2 = 194 + 81 Combine like terms: 194 + 81 = 275 81 + 18y + y2 = 275 Factor a perfect square on the left side: (y + 9)(y + 9) = 275 Calculate the square root of the right side: 16.583123952 Break this problem into two subproblems by setting (y + 9) equal to 16.583123952 and -16.583123952.Subproblem 1
y + 9 = 16.583123952 Simplifying y + 9 = 16.583123952 Reorder the terms: 9 + y = 16.583123952 Solving 9 + y = 16.583123952 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = 16.583123952 + -9 Combine like terms: 9 + -9 = 0 0 + y = 16.583123952 + -9 y = 16.583123952 + -9 Combine like terms: 16.583123952 + -9 = 7.583123952 y = 7.583123952 Simplifying y = 7.583123952Subproblem 2
y + 9 = -16.583123952 Simplifying y + 9 = -16.583123952 Reorder the terms: 9 + y = -16.583123952 Solving 9 + y = -16.583123952 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = -16.583123952 + -9 Combine like terms: 9 + -9 = 0 0 + y = -16.583123952 + -9 y = -16.583123952 + -9 Combine like terms: -16.583123952 + -9 = -25.583123952 y = -25.583123952 Simplifying y = -25.583123952Solution
The solution to the problem is based on the solutions from the subproblems. y = {7.583123952, -25.583123952}
| 6x+5=2x-11 | | t-19=-2(t+5) | | z-6=-10 | | v^2-20v+19=0 | | p-22=3(2p-4) | | 6x-5=2x-11 | | -4+a=15 | | 6x+7y=13 | | 12x+5=8x+13 | | 2y-6=9-3y | | w^2+6w=-3 | | log(y)=1.6 | | 4=m+19 | | 9d-1=2d+20 | | x^3+6x+9=49 | | 2x^3+12x^2+22x+12=0 | | -5z+4+6z=40 | | 3x+5=2x+4 | | 47=(7z-3)-(4z-11) | | -6x-167=9x+88 | | 6u=96 | | -6x-167=88 | | 2x^2+8x+31=0 | | -x-2/7=x+1/6+4/7 | | 12x-18=10x+10 | | 5c-4b= | | 4n+1-5n=6n+7-9n | | 4b+8=7b-4 | | -6f=-36 | | 3x-1=5x+7 | | 15a-10=20a | | (2/5)+x=(-1/10) |