If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -4.9t2 + 10t + 2 Reorder the terms: 0 = 2 + 10t + -4.9t2 Solving 0 = 2 + 10t + -4.9t2 Solving for variable 't'. Combine like terms: 0 + -2 = -2 -2 + -10t + 4.9t2 = 2 + 10t + -4.9t2 + -2 + -10t + 4.9t2 Reorder the terms: -2 + -10t + 4.9t2 = 2 + -2 + 10t + -10t + -4.9t2 + 4.9t2 Combine like terms: 2 + -2 = 0 -2 + -10t + 4.9t2 = 0 + 10t + -10t + -4.9t2 + 4.9t2 -2 + -10t + 4.9t2 = 10t + -10t + -4.9t2 + 4.9t2 Combine like terms: 10t + -10t = 0 -2 + -10t + 4.9t2 = 0 + -4.9t2 + 4.9t2 -2 + -10t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 -2 + -10t + 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'. -0.4081632653 + -2.040816327t + t2 = 0 Move the constant term to the right: Add '0.4081632653' to each side of the equation. -0.4081632653 + -2.040816327t + 0.4081632653 + t2 = 0 + 0.4081632653 Reorder the terms: -0.4081632653 + 0.4081632653 + -2.040816327t + t2 = 0 + 0.4081632653 Combine like terms: -0.4081632653 + 0.4081632653 = 0.0000000000 0.0000000000 + -2.040816327t + t2 = 0 + 0.4081632653 -2.040816327t + t2 = 0 + 0.4081632653 Combine like terms: 0 + 0.4081632653 = 0.4081632653 -2.040816327t + t2 = 0.4081632653 The t term is -2.040816327t. Take half its coefficient (-1.020408164). Square it (1.041232821) and add it to both sides. Add '1.041232821' to each side of the equation. -2.040816327t + 1.041232821 + t2 = 0.4081632653 + 1.041232821 Reorder the terms: 1.041232821 + -2.040816327t + t2 = 0.4081632653 + 1.041232821 Combine like terms: 0.4081632653 + 1.041232821 = 1.4493960863 1.041232821 + -2.040816327t + t2 = 1.4493960863 Factor a perfect square on the left side: (t + -1.020408164)(t + -1.020408164) = 1.4493960863 Calculate the square root of the right side: 1.20390867 Break this problem into two subproblems by setting (t + -1.020408164) equal to 1.20390867 and -1.20390867.Subproblem 1
t + -1.020408164 = 1.20390867 Simplifying t + -1.020408164 = 1.20390867 Reorder the terms: -1.020408164 + t = 1.20390867 Solving -1.020408164 + t = 1.20390867 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.020408164' to each side of the equation. -1.020408164 + 1.020408164 + t = 1.20390867 + 1.020408164 Combine like terms: -1.020408164 + 1.020408164 = 0.000000000 0.000000000 + t = 1.20390867 + 1.020408164 t = 1.20390867 + 1.020408164 Combine like terms: 1.20390867 + 1.020408164 = 2.224316834 t = 2.224316834 Simplifying t = 2.224316834Subproblem 2
t + -1.020408164 = -1.20390867 Simplifying t + -1.020408164 = -1.20390867 Reorder the terms: -1.020408164 + t = -1.20390867 Solving -1.020408164 + t = -1.20390867 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.020408164' to each side of the equation. -1.020408164 + 1.020408164 + t = -1.20390867 + 1.020408164 Combine like terms: -1.020408164 + 1.020408164 = 0.000000000 0.000000000 + t = -1.20390867 + 1.020408164 t = -1.20390867 + 1.020408164 Combine like terms: -1.20390867 + 1.020408164 = -0.183500506 t = -0.183500506 Simplifying t = -0.183500506Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.224316834, -0.183500506}
| 1/16=2^6x | | h(t)=-4.9t^2+10t+2 | | 3/5(-2.25) | | 180-19x-3+12x+18+4x=180 | | 80+5x-5=9x+15 | | 2=5-300h | | (5c^2+12c-8)+(c-2)+(14c^2-8c+6)= | | 7x+5=-7+4x+21 | | 21x^2-12y=0 | | U=100+2X+3Y | | 2w-4(9-3z)=62 | | 2.6x-2.6= | | -18n+16=-17n-4 | | 5y+8=9y-13 | | (7x+4xy-9)-(-7x+3xy+7)= | | 21=29+12x | | 5/9×1/3 | | 7(n+3)=-34+6n | | 5(y-2)=21-2(x+3) | | 7x^3+21x^2-70x=0 | | -2b+3=(5b-3)2 | | x+(3x-4)+10=30 | | 5y=17-2x | | 4x^2+58x-108=0 | | z^8=(-1-i) | | 12x-3x=54 | | 10n-7=-5 | | 81x-18=0 | | z^8=-1-i | | 8(3+y)=5(2y-3) | | 16z-21=8(2z-3) | | X/6-8=11/12 |