If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 15 = -4.9t2 + 9.8t + 30 Reorder the terms: 15 = 30 + 9.8t + -4.9t2 Solving 15 = 30 + 9.8t + -4.9t2 Solving for variable 't'. Combine like terms: 15 + -30 = -15 -15 + -9.8t + 4.9t2 = 30 + 9.8t + -4.9t2 + -30 + -9.8t + 4.9t2 Reorder the terms: -15 + -9.8t + 4.9t2 = 30 + -30 + 9.8t + -9.8t + -4.9t2 + 4.9t2 Combine like terms: 30 + -30 = 0 -15 + -9.8t + 4.9t2 = 0 + 9.8t + -9.8t + -4.9t2 + 4.9t2 -15 + -9.8t + 4.9t2 = 9.8t + -9.8t + -4.9t2 + 4.9t2 Combine like terms: 9.8t + -9.8t = 0.0 -15 + -9.8t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2 -15 + -9.8t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 -15 + -9.8t + 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'. -3.06122449 + -2t + t2 = 0 Move the constant term to the right: Add '3.06122449' to each side of the equation. -3.06122449 + -2t + 3.06122449 + t2 = 0 + 3.06122449 Reorder the terms: -3.06122449 + 3.06122449 + -2t + t2 = 0 + 3.06122449 Combine like terms: -3.06122449 + 3.06122449 = 0.00000000 0.00000000 + -2t + t2 = 0 + 3.06122449 -2t + t2 = 0 + 3.06122449 Combine like terms: 0 + 3.06122449 = 3.06122449 -2t + t2 = 3.06122449 The t term is -2t. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2t + 1 + t2 = 3.06122449 + 1 Reorder the terms: 1 + -2t + t2 = 3.06122449 + 1 Combine like terms: 3.06122449 + 1 = 4.06122449 1 + -2t + t2 = 4.06122449 Factor a perfect square on the left side: (t + -1)(t + -1) = 4.06122449 Calculate the square root of the right side: 2.015247997 Break this problem into two subproblems by setting (t + -1) equal to 2.015247997 and -2.015247997.Subproblem 1
t + -1 = 2.015247997 Simplifying t + -1 = 2.015247997 Reorder the terms: -1 + t = 2.015247997 Solving -1 + t = 2.015247997 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + t = 2.015247997 + 1 Combine like terms: -1 + 1 = 0 0 + t = 2.015247997 + 1 t = 2.015247997 + 1 Combine like terms: 2.015247997 + 1 = 3.015247997 t = 3.015247997 Simplifying t = 3.015247997Subproblem 2
t + -1 = -2.015247997 Simplifying t + -1 = -2.015247997 Reorder the terms: -1 + t = -2.015247997 Solving -1 + t = -2.015247997 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + t = -2.015247997 + 1 Combine like terms: -1 + 1 = 0 0 + t = -2.015247997 + 1 t = -2.015247997 + 1 Combine like terms: -2.015247997 + 1 = -1.015247997 t = -1.015247997 Simplifying t = -1.015247997Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.015247997, -1.015247997}
| 3u=8+4u | | 8x+4+x=5x+12 | | -21x-14+4-4x=18x-45-9x+15 | | ln^2(x)+2ln(x)=0 | | 4(a-2)-2a=8 | | -4+15r=-7+15r+3 | | 11w-8w=24 | | 2x+11=2x+2 | | 1+5k=5k-8 | | 16w=9w+56 | | 2k^2+18=13k | | 21-27x-25x-5=-72+32 | | 7(v-5)=-4v+9 | | -7+3w=3-10+3w | | -16y=144-4y | | 5x+10x-9=3(5x+9) | | 3[3n+6]=63 | | 4(x+2)+3+2(x-1)=51 | | -20=4(w-7)-8w | | x+x(0.13)=1206.84 | | 2x+72=-7x | | -10x+35-x=2x+4-8 | | 36+3y=-7x | | 9+2s=2s+2 | | 7x+1=7x-8 | | y^2-5=3y-5 | | Z^16=-64 | | 1+6+3v=4v+9 | | 12y=36+3y | | 3(4-r)+5=9 | | 3(x+12)-2=10 | | -5(c+10)-14=-134 |