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 + -9 = 0 Reorder the terms: -9 + 6y + y2 = 0 Solving -9 + 6y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '9' to each side of the equation. -9 + 6y + 9 + y2 = 0 + 9 Reorder the terms: -9 + 9 + 6y + y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6y + y2 = 0 + 9 6y + y2 = 0 + 9 Combine like terms: 0 + 9 = 9 6y + y2 = 9 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 = 9 + 9 Reorder the terms: 9 + 6y + y2 = 9 + 9 Combine like terms: 9 + 9 = 18 9 + 6y + y2 = 18 Factor a perfect square on the left side: (y + 3)(y + 3) = 18 Calculate the square root of the right side: 4.242640687 Break this problem into two subproblems by setting (y + 3) equal to 4.242640687 and -4.242640687.Subproblem 1
y + 3 = 4.242640687 Simplifying y + 3 = 4.242640687 Reorder the terms: 3 + y = 4.242640687 Solving 3 + y = 4.242640687 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 = 4.242640687 + -3 Combine like terms: 3 + -3 = 0 0 + y = 4.242640687 + -3 y = 4.242640687 + -3 Combine like terms: 4.242640687 + -3 = 1.242640687 y = 1.242640687 Simplifying y = 1.242640687Subproblem 2
y + 3 = -4.242640687 Simplifying y + 3 = -4.242640687 Reorder the terms: 3 + y = -4.242640687 Solving 3 + y = -4.242640687 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 = -4.242640687 + -3 Combine like terms: 3 + -3 = 0 0 + y = -4.242640687 + -3 y = -4.242640687 + -3 Combine like terms: -4.242640687 + -3 = -7.242640687 y = -7.242640687 Simplifying y = -7.242640687Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.242640687, -7.242640687}
| 5+11=45+x | | -8v+18=9v-11v | | X^3-2x^2-5x=0 | | z+19=22 | | 4x+4/7+3x-1/7=2/7 | | w^2+4w-2=0 | | t^2=3t+40 | | 5y+25=30 | | x^2+x-3x-3=22-2x | | 142.39=2.55h+73.54 | | 6x-20=46 | | 5x=3x-6 | | -5x+23+7x+23=-4 | | 3x^3+21x^2-54x=0 | | 24x+60x= | | 3x+x=-28 | | 2z^2=7z-6 | | 0=x^3-5x^2-12x+60 | | (x+1)(x+2)=42 | | 3x-5y=12 | | 9x^3+4x-100=0 | | a-7/10=a-2/8 | | 2k-8=4(k+1) | | 3(4x+6)=-9x+12 | | 8-4x*14+10=5x+10 | | x+15+x=55 | | x+8+5x=31-2x | | 25v^2-9w^2= | | 3(x+6)=-5(x+6)+15 | | x^2-x=870 | | 1/2+2d=36 | | x^2(x-1)=870 |