If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying t = -4.9t2 + 39.2t + 1 Reorder the terms: t = 1 + 39.2t + -4.9t2 Solving t = 1 + 39.2t + -4.9t2 Solving for variable 't'. Reorder the terms: -1 + t + -39.2t + 4.9t2 = 1 + 39.2t + -4.9t2 + -1 + -39.2t + 4.9t2 Combine like terms: t + -39.2t = -38.2t -1 + -38.2t + 4.9t2 = 1 + 39.2t + -4.9t2 + -1 + -39.2t + 4.9t2 Reorder the terms: -1 + -38.2t + 4.9t2 = 1 + -1 + 39.2t + -39.2t + -4.9t2 + 4.9t2 Combine like terms: 1 + -1 = 0 -1 + -38.2t + 4.9t2 = 0 + 39.2t + -39.2t + -4.9t2 + 4.9t2 -1 + -38.2t + 4.9t2 = 39.2t + -39.2t + -4.9t2 + 4.9t2 Combine like terms: 39.2t + -39.2t = 0.0 -1 + -38.2t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2 -1 + -38.2t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 -1 + -38.2t + 4.9t2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. -0.2040816327 + -7.795918367t + t2 = 0 Move the constant term to the right: Add '0.2040816327' to each side of the equation. -0.2040816327 + -7.795918367t + 0.2040816327 + t2 = 0 + 0.2040816327 Reorder the terms: -0.2040816327 + 0.2040816327 + -7.795918367t + t2 = 0 + 0.2040816327 Combine like terms: -0.2040816327 + 0.2040816327 = 0.0000000000 0.0000000000 + -7.795918367t + t2 = 0 + 0.2040816327 -7.795918367t + t2 = 0 + 0.2040816327 Combine like terms: 0 + 0.2040816327 = 0.2040816327 -7.795918367t + t2 = 0.2040816327 The t term is -7.795918367t. Take half its coefficient (-3.897959184). Square it (15.19408580) and add it to both sides. Add '15.19408580' to each side of the equation. -7.795918367t + 15.19408580 + t2 = 0.2040816327 + 15.19408580 Reorder the terms: 15.19408580 + -7.795918367t + t2 = 0.2040816327 + 15.19408580 Combine like terms: 0.2040816327 + 15.19408580 = 15.3981674327 15.19408580 + -7.795918367t + t2 = 15.3981674327 Factor a perfect square on the left side: (t + -3.897959184)(t + -3.897959184) = 15.3981674327 Calculate the square root of the right side: 3.924049876 Break this problem into two subproblems by setting (t + -3.897959184) equal to 3.924049876 and -3.924049876.Subproblem 1
t + -3.897959184 = 3.924049876 Simplifying t + -3.897959184 = 3.924049876 Reorder the terms: -3.897959184 + t = 3.924049876 Solving -3.897959184 + t = 3.924049876 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.897959184' to each side of the equation. -3.897959184 + 3.897959184 + t = 3.924049876 + 3.897959184 Combine like terms: -3.897959184 + 3.897959184 = 0.000000000 0.000000000 + t = 3.924049876 + 3.897959184 t = 3.924049876 + 3.897959184 Combine like terms: 3.924049876 + 3.897959184 = 7.82200906 t = 7.82200906 Simplifying t = 7.82200906Subproblem 2
t + -3.897959184 = -3.924049876 Simplifying t + -3.897959184 = -3.924049876 Reorder the terms: -3.897959184 + t = -3.924049876 Solving -3.897959184 + t = -3.924049876 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.897959184' to each side of the equation. -3.897959184 + 3.897959184 + t = -3.924049876 + 3.897959184 Combine like terms: -3.897959184 + 3.897959184 = 0.000000000 0.000000000 + t = -3.924049876 + 3.897959184 t = -3.924049876 + 3.897959184 Combine like terms: -3.924049876 + 3.897959184 = -0.026090692 t = -0.026090692 Simplifying t = -0.026090692Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.82200906, -0.026090692}
| -273=-7(7+4x) | | -83=-5+6(a-7) | | log(x)+(2)log(x)=log(27) | | 11v+20=12v+17 | | x^2-x-26=4 | | 11v+20=12v | | 5(2m+3)-(1-2m)= | | 21=(3b-11)+(b+4) | | 8(3m-2)-73=0 | | X^2+18x=-71 | | 4w+6=5w | | logx+(2)logx=log(27) | | 2k^2-13k+6=0 | | 6(5x-1)=14(2x-8) | | y=-0.2(36)+50 | | v+26=-18 | | -3-4y=12 | | y-6=7(x-3) | | 0.2x+4.2=1.4x-1.8 | | 4z-23=z+-32 | | -2y-9=5y+12 | | 3e-19=-2(e+-4) | | -2(5x+3)=-10x+8 | | 3-4y=12 | | y+6=7(x+3) | | 4z-23=z-32 | | 36+10q=8q | | -(4x+1)=3(2x-1) | | 3(x-5)+15=x-8 | | 5*m=85 | | 3(x-5)+15=3x-8 | | 6x=3(6x+20) |