If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 12y + 18 = 0 Reorder the terms: 18 + 12y + y2 = 0 Solving 18 + 12y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 12y + -18 + y2 = 0 + -18 Reorder the terms: 18 + -18 + 12y + y2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12y + y2 = 0 + -18 12y + y2 = 0 + -18 Combine like terms: 0 + -18 = -18 12y + y2 = -18 The y term is 12y. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12y + 36 + y2 = -18 + 36 Reorder the terms: 36 + 12y + y2 = -18 + 36 Combine like terms: -18 + 36 = 18 36 + 12y + y2 = 18 Factor a perfect square on the left side: (y + 6)(y + 6) = 18 Calculate the square root of the right side: 4.242640687 Break this problem into two subproblems by setting (y + 6) equal to 4.242640687 and -4.242640687.Subproblem 1
y + 6 = 4.242640687 Simplifying y + 6 = 4.242640687 Reorder the terms: 6 + y = 4.242640687 Solving 6 + y = 4.242640687 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 4.242640687 + -6 Combine like terms: 6 + -6 = 0 0 + y = 4.242640687 + -6 y = 4.242640687 + -6 Combine like terms: 4.242640687 + -6 = -1.757359313 y = -1.757359313 Simplifying y = -1.757359313Subproblem 2
y + 6 = -4.242640687 Simplifying y + 6 = -4.242640687 Reorder the terms: 6 + y = -4.242640687 Solving 6 + y = -4.242640687 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = -4.242640687 + -6 Combine like terms: 6 + -6 = 0 0 + y = -4.242640687 + -6 y = -4.242640687 + -6 Combine like terms: -4.242640687 + -6 = -10.242640687 y = -10.242640687 Simplifying y = -10.242640687Solution
The solution to the problem is based on the solutions from the subproblems. y = {-1.757359313, -10.242640687}
| -2j+1=11 | | 795w-40-1=14-8w | | 3x-n=72 | | -8.1-6z-8.8-3z=-8z+4.7 | | (x+8)(3x+5)=0 | | 2[m-(2m+19)+14]=2(m+5) | | -2x=3x-20 | | 3-2(y+5)-4y= | | 5m+3=7m-6 | | 10s-4s=-12 | | 6-(2y-2)=8-3y | | 8m-6m--16m-9m=9 | | 13x+12=16x-20 | | 3m-3m+6m=6 | | 7(6+w)=6(3+w) | | 7a-4a-2a+2a=18 | | -2x+12=20 | | 5x-4=4x+7 | | 12v+4v-15:=17 | | 8x+5x-3x-x= | | 2n+6=18-4 | | 343x^6-8= | | 11n+3n-12n-2n+4n=20 | | x^2-12x=a | | 6z-3=7z | | 2n+6=18-4n | | 29=-3(2x-4)-1 | | 5t(11t+6)= | | -7r--5r+7r=-20 | | 2(9x-1)=99-21+28x | | -2x^2-x+5=0 | | 10x^2+10x-19=0 |