If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12y2 + -6y + -11 = 0 Reorder the terms: -11 + -6y + 12y2 = 0 Solving -11 + -6y + 12y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -0.9166666667 + -0.5y + y2 = 0 Move the constant term to the right: Add '0.9166666667' to each side of the equation. -0.9166666667 + -0.5y + 0.9166666667 + y2 = 0 + 0.9166666667 Reorder the terms: -0.9166666667 + 0.9166666667 + -0.5y + y2 = 0 + 0.9166666667 Combine like terms: -0.9166666667 + 0.9166666667 = 0.0000000000 0.0000000000 + -0.5y + y2 = 0 + 0.9166666667 -0.5y + y2 = 0 + 0.9166666667 Combine like terms: 0 + 0.9166666667 = 0.9166666667 -0.5y + y2 = 0.9166666667 The y term is -0.5y. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5y + 0.0625 + y2 = 0.9166666667 + 0.0625 Reorder the terms: 0.0625 + -0.5y + y2 = 0.9166666667 + 0.0625 Combine like terms: 0.9166666667 + 0.0625 = 0.9791666667 0.0625 + -0.5y + y2 = 0.9791666667 Factor a perfect square on the left side: (y + -0.25)(y + -0.25) = 0.9791666667 Calculate the square root of the right side: 0.989528507 Break this problem into two subproblems by setting (y + -0.25) equal to 0.989528507 and -0.989528507.Subproblem 1
y + -0.25 = 0.989528507 Simplifying y + -0.25 = 0.989528507 Reorder the terms: -0.25 + y = 0.989528507 Solving -0.25 + y = 0.989528507 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + y = 0.989528507 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + y = 0.989528507 + 0.25 y = 0.989528507 + 0.25 Combine like terms: 0.989528507 + 0.25 = 1.239528507 y = 1.239528507 Simplifying y = 1.239528507Subproblem 2
y + -0.25 = -0.989528507 Simplifying y + -0.25 = -0.989528507 Reorder the terms: -0.25 + y = -0.989528507 Solving -0.25 + y = -0.989528507 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + y = -0.989528507 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + y = -0.989528507 + 0.25 y = -0.989528507 + 0.25 Combine like terms: -0.989528507 + 0.25 = -0.739528507 y = -0.739528507 Simplifying y = -0.739528507Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.239528507, -0.739528507}
| x^3-11x^2+28x=0 | | 6x+5=47-7x | | 11x+6=2x+69 | | 4/7w=16 | | (4x+5)(x-9)=0 | | 10m+3n-4m+9n= | | 108-7x=11x+22 | | 14a+19b+3c+3c-5b-5a= | | 20p+16q+p-6q-4p= | | -3x(x-4)=0 | | 10m+3n-4m+9M= | | a/8+7=15 | | 3(6x-1)=33 | | 6a+1=43 | | x^2-5x=5x | | 4l-23=3l+4 | | (x-3)2=0 | | 4=6b-5+4 | | k=fa | | 10-(7x-2)+1=8 | | (6x+9)(x^2-4x+5)= | | 7*7=2x | | (3+2x)(1-x)= | | 7-2=2x | | x+1=75*5 | | 142-2x=43x+17 | | -77-10x=10x+23 | | (3+2x)=(1-x) | | 4x+101=8x-7 | | 1x+55=22x | | 173-5x=13x+21 | | 14-9x=32-16x |