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 = 0 Reorder the terms: 1 + 6y + y2 = 0 Solving 1 + 6y + y2 = 0 Solving for variable 'y'. 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}
| 5+8n=7 | | 10x^4-14x^2+3=0 | | x-x/10=700000 | | 2(-2)-5(3)-4(-1)= | | u(m+3)+w(m-9)=z(m-1) | | 5y^4-14y^2+3=0 | | 6(v+3)-2v=2(2v+4)-13 | | -5(4y-10)+2(3y+9)= | | 5x+12x(x+5000)=940 | | n+(n+2)+(n+4)+(n+6)+(n+8)= | | U^5=243 | | -6[1+6(-6+6)]+17= | | -5-(3-4p)= | | 53=-8x | | 8k+13=5k-62 | | -3[3+3(-1+3)]+19= | | 0=-14 | | 7/7x^2 | | 2x+y-10x+5y= | | 3(4)+5=17 | | -4c^2+6c^2= | | 2x^2ln(x)=8ln(x) | | 9q-2-6q= | | -9x+1+9x= | | (-2)(9)(-3)(-1)= | | 7x+20=7x-20 | | Y^3+9y-y^2-9=0 | | 3+6m-2=9m+33-7m | | 3y^2+2y-6=0 | | 1x+.50y=200 | | 215=16x+5y | | 5x-4=6x+4 |