If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4y2 + -15y = 11 Reorder the terms: -15y + 4y2 = 11 Solving -15y + 4y2 = 11 Solving for variable 'y'. Reorder the terms: -11 + -15y + 4y2 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 + -15y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -2.75 + -3.75y + y2 = 0 Move the constant term to the right: Add '2.75' to each side of the equation. -2.75 + -3.75y + 2.75 + y2 = 0 + 2.75 Reorder the terms: -2.75 + 2.75 + -3.75y + y2 = 0 + 2.75 Combine like terms: -2.75 + 2.75 = 0.00 0.00 + -3.75y + y2 = 0 + 2.75 -3.75y + y2 = 0 + 2.75 Combine like terms: 0 + 2.75 = 2.75 -3.75y + y2 = 2.75 The y term is -3.75y. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75y + 3.515625 + y2 = 2.75 + 3.515625 Reorder the terms: 3.515625 + -3.75y + y2 = 2.75 + 3.515625 Combine like terms: 2.75 + 3.515625 = 6.265625 3.515625 + -3.75y + y2 = 6.265625 Factor a perfect square on the left side: (y + -1.875)(y + -1.875) = 6.265625 Calculate the square root of the right side: 2.503123049 Break this problem into two subproblems by setting (y + -1.875) equal to 2.503123049 and -2.503123049.Subproblem 1
y + -1.875 = 2.503123049 Simplifying y + -1.875 = 2.503123049 Reorder the terms: -1.875 + y = 2.503123049 Solving -1.875 + y = 2.503123049 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + y = 2.503123049 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + y = 2.503123049 + 1.875 y = 2.503123049 + 1.875 Combine like terms: 2.503123049 + 1.875 = 4.378123049 y = 4.378123049 Simplifying y = 4.378123049Subproblem 2
y + -1.875 = -2.503123049 Simplifying y + -1.875 = -2.503123049 Reorder the terms: -1.875 + y = -2.503123049 Solving -1.875 + y = -2.503123049 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + y = -2.503123049 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + y = -2.503123049 + 1.875 y = -2.503123049 + 1.875 Combine like terms: -2.503123049 + 1.875 = -0.628123049 y = -0.628123049 Simplifying y = -0.628123049Solution
The solution to the problem is based on the solutions from the subproblems. y = {4.378123049, -0.628123049}
| 12x^4-56x^3+32x^2=0 | | x=-9-4/5x-2 | | 7-3x+5x=12 | | 14x+1-5x=x-21 | | ak-r=forw | | 6x+5=3x-29 | | 2f(x)=1-6x | | -9567.7=m(-9.8) | | 12x+L=y | | 4y^2-15y+11x=0 | | cos(2x)=-0.7834 | | c=25.50c+9.50 | | 2x+2-4x-5=1 | | x(x^2-1)-4(x^2-1)=0 | | p=gH+y | | -3w^2-3w+36=0 | | 7-85-2.15c=20.75 | | 4.9t^2+8t+30=0 | | 2m-2-m=-4-3m | | 3x+15+x-7=94 | | Zx-y=14 | | -y^2+9y-20=0 | | 25x^2-30+9=0 | | 10+6x=10x-22 | | 112=11(x+1) | | Sqrt(x^2-9)=x-1 | | 4x-x-8=4 | | 2x-5y=z | | -10+b/4=12 | | x(a+b)+x(a+c)= | | 2.16t+2.7+3=13.80 | | 21x+32=3 |