If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3y2 + 16y + 6 = 0 Reorder the terms: 6 + 16y + 3y2 = 0 Solving 6 + 16y + 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'. 2 + 5.333333333y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 5.333333333y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + 5.333333333y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5.333333333y + y2 = 0 + -2 5.333333333y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 5.333333333y + y2 = -2 The y term is 5.333333333y. Take half its coefficient (2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. 5.333333333y + 7.111111113 + y2 = -2 + 7.111111113 Reorder the terms: 7.111111113 + 5.333333333y + y2 = -2 + 7.111111113 Combine like terms: -2 + 7.111111113 = 5.111111113 7.111111113 + 5.333333333y + y2 = 5.111111113 Factor a perfect square on the left side: (y + 2.666666667)(y + 2.666666667) = 5.111111113 Calculate the square root of the right side: 2.260776661 Break this problem into two subproblems by setting (y + 2.666666667) equal to 2.260776661 and -2.260776661.Subproblem 1
y + 2.666666667 = 2.260776661 Simplifying y + 2.666666667 = 2.260776661 Reorder the terms: 2.666666667 + y = 2.260776661 Solving 2.666666667 + y = 2.260776661 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.666666667' to each side of the equation. 2.666666667 + -2.666666667 + y = 2.260776661 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + y = 2.260776661 + -2.666666667 y = 2.260776661 + -2.666666667 Combine like terms: 2.260776661 + -2.666666667 = -0.405890006 y = -0.405890006 Simplifying y = -0.405890006Subproblem 2
y + 2.666666667 = -2.260776661 Simplifying y + 2.666666667 = -2.260776661 Reorder the terms: 2.666666667 + y = -2.260776661 Solving 2.666666667 + y = -2.260776661 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.666666667' to each side of the equation. 2.666666667 + -2.666666667 + y = -2.260776661 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + y = -2.260776661 + -2.666666667 y = -2.260776661 + -2.666666667 Combine like terms: -2.260776661 + -2.666666667 = -4.927443328 y = -4.927443328 Simplifying y = -4.927443328Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.405890006, -4.927443328}
| -6-4x=-42 | | 14x+50=75 | | -(y-6)=6 | | 2a-3b=14 | | --4/9x=3/5 | | 3x+11y=-10 | | 0.9g=13.5 | | x/4=12.5 | | -2(9t+8)=12 | | 18m+7=n | | 9x+(11x+12)= | | -5f=145 | | 45/80=60/x | | 2x2-3x5/0 | | log[4](3x-5)=3 | | p+86=-99 | | 5-(7x+9)= | | (1/7*7)u=1/7(-1/5). | | 4y-2y=9 | | 2(5z+1)=42 | | 3/4b-9=22 | | 10Z=90 | | (x-4)^1/4=3 | | 20-3x=3(2+2x)-4 | | 1144=-11x | | 16x+8y=164 | | a/c=b | | 2(x+3)=7x+1 | | x+-19=-22 | | 4y-15=3y | | 500x+450y=8075*1.05 | | 7+x=13+2 |