If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 381.35 = 158t + -9.81t2 Solving 381.35 = 158t + -9.81t2 Solving for variable 't'. Reorder the terms: 381.35 + -158t + 9.81t2 = 158t + -158t + -9.81t2 + 9.81t2 Combine like terms: 158t + -158t = 0 381.35 + -158t + 9.81t2 = 0 + -9.81t2 + 9.81t2 381.35 + -158t + 9.81t2 = -9.81t2 + 9.81t2 Combine like terms: -9.81t2 + 9.81t2 = 0.00 381.35 + -158t + 9.81t2 = 0.00 Begin completing the square. Divide all terms by 9.81 the coefficient of the squared term: Divide each side by '9.81'. 38.87359837 + -16.10601427t + t2 = 0 Move the constant term to the right: Add '-38.87359837' to each side of the equation. 38.87359837 + -16.10601427t + -38.87359837 + t2 = 0 + -38.87359837 Reorder the terms: 38.87359837 + -38.87359837 + -16.10601427t + t2 = 0 + -38.87359837 Combine like terms: 38.87359837 + -38.87359837 = 0.00000000 0.00000000 + -16.10601427t + t2 = 0 + -38.87359837 -16.10601427t + t2 = 0 + -38.87359837 Combine like terms: 0 + -38.87359837 = -38.87359837 -16.10601427t + t2 = -38.87359837 The t term is -16.10601427t. Take half its coefficient (-8.053007135). Square it (64.85092392) and add it to both sides. Add '64.85092392' to each side of the equation. -16.10601427t + 64.85092392 + t2 = -38.87359837 + 64.85092392 Reorder the terms: 64.85092392 + -16.10601427t + t2 = -38.87359837 + 64.85092392 Combine like terms: -38.87359837 + 64.85092392 = 25.97732555 64.85092392 + -16.10601427t + t2 = 25.97732555 Factor a perfect square on the left side: (t + -8.053007135)(t + -8.053007135) = 25.97732555 Calculate the square root of the right side: 5.096795616 Break this problem into two subproblems by setting (t + -8.053007135) equal to 5.096795616 and -5.096795616.Subproblem 1
t + -8.053007135 = 5.096795616 Simplifying t + -8.053007135 = 5.096795616 Reorder the terms: -8.053007135 + t = 5.096795616 Solving -8.053007135 + t = 5.096795616 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8.053007135' to each side of the equation. -8.053007135 + 8.053007135 + t = 5.096795616 + 8.053007135 Combine like terms: -8.053007135 + 8.053007135 = 0.000000000 0.000000000 + t = 5.096795616 + 8.053007135 t = 5.096795616 + 8.053007135 Combine like terms: 5.096795616 + 8.053007135 = 13.149802751 t = 13.149802751 Simplifying t = 13.149802751Subproblem 2
t + -8.053007135 = -5.096795616 Simplifying t + -8.053007135 = -5.096795616 Reorder the terms: -8.053007135 + t = -5.096795616 Solving -8.053007135 + t = -5.096795616 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8.053007135' to each side of the equation. -8.053007135 + 8.053007135 + t = -5.096795616 + 8.053007135 Combine like terms: -8.053007135 + 8.053007135 = 0.000000000 0.000000000 + t = -5.096795616 + 8.053007135 t = -5.096795616 + 8.053007135 Combine like terms: -5.096795616 + 8.053007135 = 2.956211519 t = 2.956211519 Simplifying t = 2.956211519Solution
The solution to the problem is based on the solutions from the subproblems. t = {13.149802751, 2.956211519}
| 4-2x(-1)=0 | | -289=8426y-91834(2y-32850) | | 1x+21=15 | | 22=0.3x+15 | | -13x+15x-41=19 | | -96z-9+3z=-53 | | 4.2v-5-6.5v=0 | | 48/2(.9+.3)=n | | 4(u+3)-8u=16 | | y*dx-3(x+y^5)dy=0 | | ax+vs+c=d | | -7(7-2p)=-161 | | 0.35x^2-x+0.35=0 | | -3+4y+7=4+4y | | 15+0.5m=0.25m | | 3(2x-6)=4x+3 | | -6t=6r+6 | | 1.5x=4.5 | | -18=-(7-2a)-(a+10358) | | 190=-10(1-4v) | | -6t=6r | | 0=6-1x | | 3(8.33)+36=9(8.33)-14 | | 7-6(4-y)=-18-2y | | 2x-4+2x=180 | | -k+3=11 | | 3(8.33)+36=9x-14 | | 2.5x=3.5+2x | | 2x-5x+20x= | | -6=3(t-6)-t | | x-36=-9x+4 | | 4(x+3)-(2n+9)= |