If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 6y = -1 Reorder the terms: 6y + y2 = -1 Solving 6y + y2 = -1 Solving for variable 'y'. Reorder the terms: 1 + 6y + y2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + 6y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + 6y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6y + y2 = 0 + -1 6y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 6y + y2 = -1 The y term is 6y. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6y + 9 + y2 = -1 + 9 Reorder the terms: 9 + 6y + y2 = -1 + 9 Combine like terms: -1 + 9 = 8 9 + 6y + y2 = 8 Factor a perfect square on the left side: (y + 3)(y + 3) = 8 Calculate the square root of the right side: 2.828427125 Break this problem into two subproblems by setting (y + 3) equal to 2.828427125 and -2.828427125.Subproblem 1
y + 3 = 2.828427125 Simplifying y + 3 = 2.828427125 Reorder the terms: 3 + y = 2.828427125 Solving 3 + y = 2.828427125 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 2.828427125 + -3 Combine like terms: 3 + -3 = 0 0 + y = 2.828427125 + -3 y = 2.828427125 + -3 Combine like terms: 2.828427125 + -3 = -0.171572875 y = -0.171572875 Simplifying y = -0.171572875Subproblem 2
y + 3 = -2.828427125 Simplifying y + 3 = -2.828427125 Reorder the terms: 3 + y = -2.828427125 Solving 3 + y = -2.828427125 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = -2.828427125 + -3 Combine like terms: 3 + -3 = 0 0 + y = -2.828427125 + -3 y = -2.828427125 + -3 Combine like terms: -2.828427125 + -3 = -5.828427125 y = -5.828427125 Simplifying y = -5.828427125Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.171572875, -5.828427125}
| 6-7x=42-35 | | 15y-8=42 | | 6x+5/3=4x+1/2+5x/6 | | 3=(5x-7)/x | | 2(x+5)/3=6x-5 | | 100*y=3.7041 | | x/9+6=-4 | | 1/9+4/9 | | 200=x(y) | | 10x-6=7x-3 | | x/7+8=-6 | | 15(x)=200 | | (5100/85+51-6)(61+64-124) | | 11=-5(4x+2)+21x | | (5100/85+51-6)-(61/64-124) | | 5/18-1/9 | | (8-u)(5u+9)=0 | | -1/3+1/6-1/9+1/12 | | (5100/85+51-6)(61/64-124) | | -5x/32-5x/32= | | z-3z=6z-6-z | | 1/3-1/6+1/9-1/12 | | 4/15-1/6 | | 8/13-2/13 | | x/2-1-x/7+4 | | (8x+3)(x^2-6x+2)=0 | | 4(5a+2)-5(3a+1)=2(a-1) | | y=-2x^2-4x+6 | | -9x/18+3x/18+3x/18= | | 7x+4=7(x+4) | | -x+2=23 | | 6(7x+3)+7=42x+25 |