If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3y2 + -1y + -21 = 0 Reorder the terms: -21 + -1y + 3y2 = 0 Solving -21 + -1y + 3y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -7 + -0.3333333333y + y2 = 0 Move the constant term to the right: Add '7' to each side of the equation. -7 + -0.3333333333y + 7 + y2 = 0 + 7 Reorder the terms: -7 + 7 + -0.3333333333y + y2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -0.3333333333y + y2 = 0 + 7 -0.3333333333y + y2 = 0 + 7 Combine like terms: 0 + 7 = 7 -0.3333333333y + y2 = 7 The y term is -0.3333333333y. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333y + 0.02777777779 + y2 = 7 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333y + y2 = 7 + 0.02777777779 Combine like terms: 7 + 0.02777777779 = 7.02777777779 0.02777777779 + -0.3333333333y + y2 = 7.02777777779 Factor a perfect square on the left side: (y + -0.1666666667)(y + -0.1666666667) = 7.02777777779 Calculate the square root of the right side: 2.65099562 Break this problem into two subproblems by setting (y + -0.1666666667) equal to 2.65099562 and -2.65099562.Subproblem 1
y + -0.1666666667 = 2.65099562 Simplifying y + -0.1666666667 = 2.65099562 Reorder the terms: -0.1666666667 + y = 2.65099562 Solving -0.1666666667 + y = 2.65099562 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + y = 2.65099562 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + y = 2.65099562 + 0.1666666667 y = 2.65099562 + 0.1666666667 Combine like terms: 2.65099562 + 0.1666666667 = 2.8176622867 y = 2.8176622867 Simplifying y = 2.8176622867Subproblem 2
y + -0.1666666667 = -2.65099562 Simplifying y + -0.1666666667 = -2.65099562 Reorder the terms: -0.1666666667 + y = -2.65099562 Solving -0.1666666667 + y = -2.65099562 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + y = -2.65099562 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + y = -2.65099562 + 0.1666666667 y = -2.65099562 + 0.1666666667 Combine like terms: -2.65099562 + 0.1666666667 = -2.4843289533 y = -2.4843289533 Simplifying y = -2.4843289533Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.8176622867, -2.4843289533}
| y^2+8y-10=0 | | -126-60x=6x^2 | | 4x^4-9x^3-3x^2=0 | | 9x-23=103 | | f(0)=0.8x^6-0.5x^5+x^4-4x^3-3*x^2+6*x | | 9x-1=-19 | | (4ln(2))/(5x^(4/5)) | | 6a-5=3a-11 | | 3(4+x)=27 | | 4x+2y=201 | | x/2+5=8 | | 36x^2-65x-1=0 | | 3(2x-3)-9x-4=2+12 | | x^2+1x-127=0 | | 6x+2(x+7)7=46 | | 16(x-11)=12x+36 | | 3ef+53f-ef= | | x^3=4.05 | | 250=24x(0.5) | | 5/8x=20 | | 3x+10=6x+15 | | F(x)=30 | | F(2)=30 | | x^3-10=100 | | 7=29+2r | | 14=6q-16 | | 10-3n=4 | | 15=c+-12 | | 18+2p=4 | | 4x+30=x+12 | | (27a^3b^9)^2/3 | | 15-4y=3 |