If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 24y2 + -6y + -8 Reorder the terms: 0 = -8 + -6y + 24y2 Solving 0 = -8 + -6y + 24y2 Solving for variable 'y'. Combine like terms: 0 + 8 = 8 8 + 6y + -24y2 = -8 + -6y + 24y2 + 8 + 6y + -24y2 Reorder the terms: 8 + 6y + -24y2 = -8 + 8 + -6y + 6y + 24y2 + -24y2 Combine like terms: -8 + 8 = 0 8 + 6y + -24y2 = 0 + -6y + 6y + 24y2 + -24y2 8 + 6y + -24y2 = -6y + 6y + 24y2 + -24y2 Combine like terms: -6y + 6y = 0 8 + 6y + -24y2 = 0 + 24y2 + -24y2 8 + 6y + -24y2 = 24y2 + -24y2 Combine like terms: 24y2 + -24y2 = 0 8 + 6y + -24y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 3y + -12y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 3y + -12y2)' equal to zero and attempt to solve: Simplifying 4 + 3y + -12y2 = 0 Solving 4 + 3y + -12y2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. -0.3333333333 + -0.25y + y2 = 0 Move the constant term to the right: Add '0.3333333333' to each side of the equation. -0.3333333333 + -0.25y + 0.3333333333 + y2 = 0 + 0.3333333333 Reorder the terms: -0.3333333333 + 0.3333333333 + -0.25y + y2 = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + -0.25y + y2 = 0 + 0.3333333333 -0.25y + y2 = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 -0.25y + y2 = 0.3333333333 The y term is -0.25y. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25y + 0.015625 + y2 = 0.3333333333 + 0.015625 Reorder the terms: 0.015625 + -0.25y + y2 = 0.3333333333 + 0.015625 Combine like terms: 0.3333333333 + 0.015625 = 0.3489583333 0.015625 + -0.25y + y2 = 0.3489583333 Factor a perfect square on the left side: (y + -0.125)(y + -0.125) = 0.3489583333 Calculate the square root of the right side: 0.590726953 Break this problem into two subproblems by setting (y + -0.125) equal to 0.590726953 and -0.590726953.Subproblem 1
y + -0.125 = 0.590726953 Simplifying y + -0.125 = 0.590726953 Reorder the terms: -0.125 + y = 0.590726953 Solving -0.125 + y = 0.590726953 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + y = 0.590726953 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + y = 0.590726953 + 0.125 y = 0.590726953 + 0.125 Combine like terms: 0.590726953 + 0.125 = 0.715726953 y = 0.715726953 Simplifying y = 0.715726953Subproblem 2
y + -0.125 = -0.590726953 Simplifying y + -0.125 = -0.590726953 Reorder the terms: -0.125 + y = -0.590726953 Solving -0.125 + y = -0.590726953 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + y = -0.590726953 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + y = -0.590726953 + 0.125 y = -0.590726953 + 0.125 Combine like terms: -0.590726953 + 0.125 = -0.465726953 y = -0.465726953 Simplifying y = -0.465726953Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.715726953, -0.465726953}Solution
y = {0.715726953, -0.465726953}
| 4x+12-2x=36 | | r-13=-2 | | 26+12x=-47 | | 8x+2x-6=34 | | 4+3x=26+x | | 5r^2-19r-4=0 | | -7y-24=-8-9y | | 3m+6-2m=-2 | | 1+18-7x=9 | | x-9=-11 | | 3x+5=6x+6 | | 6x+38=14x-26 | | 6y=x | | 7s+12=-8s | | 20+2x=52 | | 3+6(w+3)+w= | | 7s+12=-8 | | m+19=28 | | m+19=2 | | 7+2n=35 | | 200+4x=292 | | 8x^2=-8 | | -(4y+5)-(-3y-8)=0 | | 2x-7=43 | | 8x-5x+21=36-6y | | 6-n=15 | | x^2=-30 | | 13+4x=-91 | | d-8=-10 | | 7+3x=52 | | -5(3p+8)+2(p-3)= | | n+7=-13 |