If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2y2 + 12y + 15 = 0 Reorder the terms: 15 + 12y + 2y2 = 0 Solving 15 + 12y + 2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + 6y + y2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 6y + -7.5 + y2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 6y + y2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 6y + y2 = 0 + -7.5 6y + y2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 6y + y2 = -7.5 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 = -7.5 + 9 Reorder the terms: 9 + 6y + y2 = -7.5 + 9 Combine like terms: -7.5 + 9 = 1.5 9 + 6y + y2 = 1.5 Factor a perfect square on the left side: (y + 3)(y + 3) = 1.5 Calculate the square root of the right side: 1.224744871 Break this problem into two subproblems by setting (y + 3) equal to 1.224744871 and -1.224744871.Subproblem 1
y + 3 = 1.224744871 Simplifying y + 3 = 1.224744871 Reorder the terms: 3 + y = 1.224744871 Solving 3 + y = 1.224744871 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 = 1.224744871 + -3 Combine like terms: 3 + -3 = 0 0 + y = 1.224744871 + -3 y = 1.224744871 + -3 Combine like terms: 1.224744871 + -3 = -1.775255129 y = -1.775255129 Simplifying y = -1.775255129Subproblem 2
y + 3 = -1.224744871 Simplifying y + 3 = -1.224744871 Reorder the terms: 3 + y = -1.224744871 Solving 3 + y = -1.224744871 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 = -1.224744871 + -3 Combine like terms: 3 + -3 = 0 0 + y = -1.224744871 + -3 y = -1.224744871 + -3 Combine like terms: -1.224744871 + -3 = -4.224744871 y = -4.224744871 Simplifying y = -4.224744871Solution
The solution to the problem is based on the solutions from the subproblems. y = {-1.775255129, -4.224744871}
| 15w+2=12w-11 | | x^3+3x^2+25x+75= | | 35x^2=24x-27 | | 2cox^2(4x)-1=0 | | 4p-3=4p+2 | | 1.4n+2.55=1.51-.2n | | (y^2+3y-4)-(4y-6)=y^2+6 | | 4t-7=13 | | 16p^2-169= | | 5m-20=-23+6m | | 5x-21=-21 | | -2X^2+6X+Y=0 | | 13(v+2)-4v=3(3v+2)-12 | | (6x^2-3x+1)-(6x^2-6)=2x+12 | | -4s=6s+1 | | 3.5x-20=2.4x+1 | | n/6=-1 | | 1.05(1.23)(9-x)=11 | | (6y^2+4y+1)-(6y^2+5)=20 | | 5m+3n=11 | | 3m+2n=7 | | 3y+5y+2y+17+5y+7= | | c=176+14x | | -0.8=z+7.7 | | 15y+24= | | (2y^2-4y+1)-(2y^2+4)=29 | | 2.8+.333t=6 | | (-3y)-7=2 | | 4a-2y=6 | | -(7y+4)-(-6y-8)=-1 | | -(6xy-10)+4(4xy+8)= | | 1.5n+4.21=3.562-3n |