If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 10y + 5 = 0 Reorder the terms: 5 + 10y + y2 = 0 Solving 5 + 10y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 10y + -5 + y2 = 0 + -5 Reorder the terms: 5 + -5 + 10y + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10y + y2 = 0 + -5 10y + y2 = 0 + -5 Combine like terms: 0 + -5 = -5 10y + y2 = -5 The y term is 10y. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10y + 25 + y2 = -5 + 25 Reorder the terms: 25 + 10y + y2 = -5 + 25 Combine like terms: -5 + 25 = 20 25 + 10y + y2 = 20 Factor a perfect square on the left side: (y + 5)(y + 5) = 20 Calculate the square root of the right side: 4.472135955 Break this problem into two subproblems by setting (y + 5) equal to 4.472135955 and -4.472135955.Subproblem 1
y + 5 = 4.472135955 Simplifying y + 5 = 4.472135955 Reorder the terms: 5 + y = 4.472135955 Solving 5 + y = 4.472135955 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 4.472135955 + -5 Combine like terms: 5 + -5 = 0 0 + y = 4.472135955 + -5 y = 4.472135955 + -5 Combine like terms: 4.472135955 + -5 = -0.527864045 y = -0.527864045 Simplifying y = -0.527864045Subproblem 2
y + 5 = -4.472135955 Simplifying y + 5 = -4.472135955 Reorder the terms: 5 + y = -4.472135955 Solving 5 + y = -4.472135955 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = -4.472135955 + -5 Combine like terms: 5 + -5 = 0 0 + y = -4.472135955 + -5 y = -4.472135955 + -5 Combine like terms: -4.472135955 + -5 = -9.472135955 y = -9.472135955 Simplifying y = -9.472135955Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.527864045, -9.472135955}
| x-41=50 | | x+30=-10 | | x^(-2/7)=(1/4) | | 3x(2-x)-5x(7+2x)=10-4x+5 | | g/12-13=40 | | 36z^2+48z+16= | | x^2=4n^2+4n^2 | | 2x-9=18-x | | -104=4+9x | | x-11=-31 | | .68v=27.2 | | .68xV=27.2 | | .68timesv=27.2 | | (19b-3)-9(2b+2)=-2 | | 4ln(5x+6)+18=46 | | -6/7x=-50.28 | | 15x+8=7x+40 | | 4x-3y-2z=12 | | x+x+15=35 | | 6x+y=46 | | 3x^2-3x-41=0 | | 25x^2-90x+81= | | lin(x^2-4)=0 | | 10x-7=3x+56 | | 9x^2*6= | | 9=h-13 | | 9c=3c+12 | | -1/2×=-7/8 | | 4x-3=3-2x | | cos(4x)*cos(8x)-cos(5x)*cos(9x)=0 | | -6(2b+4)+(13b-8)=0 | | N+2(n-6)=5n-2 |