If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 11y2 + 16y + -20 = 0 Reorder the terms: -20 + 16y + 11y2 = 0 Solving -20 + 16y + 11y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. -1.818181818 + 1.454545455y + y2 = 0 Move the constant term to the right: Add '1.818181818' to each side of the equation. -1.818181818 + 1.454545455y + 1.818181818 + y2 = 0 + 1.818181818 Reorder the terms: -1.818181818 + 1.818181818 + 1.454545455y + y2 = 0 + 1.818181818 Combine like terms: -1.818181818 + 1.818181818 = 0.000000000 0.000000000 + 1.454545455y + y2 = 0 + 1.818181818 1.454545455y + y2 = 0 + 1.818181818 Combine like terms: 0 + 1.818181818 = 1.818181818 1.454545455y + y2 = 1.818181818 The y term is 1.454545455y. Take half its coefficient (0.7272727275). Square it (0.5289256202) and add it to both sides. Add '0.5289256202' to each side of the equation. 1.454545455y + 0.5289256202 + y2 = 1.818181818 + 0.5289256202 Reorder the terms: 0.5289256202 + 1.454545455y + y2 = 1.818181818 + 0.5289256202 Combine like terms: 1.818181818 + 0.5289256202 = 2.3471074382 0.5289256202 + 1.454545455y + y2 = 2.3471074382 Factor a perfect square on the left side: (y + 0.7272727275)(y + 0.7272727275) = 2.3471074382 Calculate the square root of the right side: 1.532027232 Break this problem into two subproblems by setting (y + 0.7272727275) equal to 1.532027232 and -1.532027232.Subproblem 1
y + 0.7272727275 = 1.532027232 Simplifying y + 0.7272727275 = 1.532027232 Reorder the terms: 0.7272727275 + y = 1.532027232 Solving 0.7272727275 + y = 1.532027232 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.7272727275' to each side of the equation. 0.7272727275 + -0.7272727275 + y = 1.532027232 + -0.7272727275 Combine like terms: 0.7272727275 + -0.7272727275 = 0.0000000000 0.0000000000 + y = 1.532027232 + -0.7272727275 y = 1.532027232 + -0.7272727275 Combine like terms: 1.532027232 + -0.7272727275 = 0.8047545045 y = 0.8047545045 Simplifying y = 0.8047545045Subproblem 2
y + 0.7272727275 = -1.532027232 Simplifying y + 0.7272727275 = -1.532027232 Reorder the terms: 0.7272727275 + y = -1.532027232 Solving 0.7272727275 + y = -1.532027232 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.7272727275' to each side of the equation. 0.7272727275 + -0.7272727275 + y = -1.532027232 + -0.7272727275 Combine like terms: 0.7272727275 + -0.7272727275 = 0.0000000000 0.0000000000 + y = -1.532027232 + -0.7272727275 y = -1.532027232 + -0.7272727275 Combine like terms: -1.532027232 + -0.7272727275 = -2.2592999595 y = -2.2592999595 Simplifying y = -2.2592999595Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.8047545045, -2.2592999595}
| 3(6x-5)-7x=-103 | | 3-4a=8x | | -138+9x=-5x+44 | | 6j-8=7j | | y+4y=33 | | -4(3x-12)=24 | | 5=-3x+2 | | 6x-5x+15-30x= | | -8n=9-7n | | 5-2(a+7)=21 | | -47+7x=23+2x | | 2x-5x+15=180 | | 4u+40=10u | | 4u+25=10u | | 4p+10=-p+25 | | 6(2n+3x)= | | r^2-4r+21= | | -8d=-7d-10 | | 3(2x-14)+x=15-(-7x-5) | | 3u+20=10u | | 3y+5(y-2)=6 | | 4u+20=10u | | 3x+4+2=x+4+6 | | 5u+20=10u | | 9u+20=10u | | -9+10=11 | | 8t=7+9t | | -65+12x=3x+70 | | 0=-2-x | | 7x-5-3x+2=4(x+2) | | (12w^2-w-1)(4w-2)= | | 8u+22=10u |