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 + 13t + 500 Reorder the terms: 0 = 500 + 13t + -4.9t2 Solving 0 = 500 + 13t + -4.9t2 Solving for variable 't'. Combine like terms: 0 + -500 = -500 -500 + -13t + 4.9t2 = 500 + 13t + -4.9t2 + -500 + -13t + 4.9t2 Reorder the terms: -500 + -13t + 4.9t2 = 500 + -500 + 13t + -13t + -4.9t2 + 4.9t2 Combine like terms: 500 + -500 = 0 -500 + -13t + 4.9t2 = 0 + 13t + -13t + -4.9t2 + 4.9t2 -500 + -13t + 4.9t2 = 13t + -13t + -4.9t2 + 4.9t2 Combine like terms: 13t + -13t = 0 -500 + -13t + 4.9t2 = 0 + -4.9t2 + 4.9t2 -500 + -13t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 -500 + -13t + 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'. -102.0408163 + -2.653061224t + t2 = 0 Move the constant term to the right: Add '102.0408163' to each side of the equation. -102.0408163 + -2.653061224t + 102.0408163 + t2 = 0 + 102.0408163 Reorder the terms: -102.0408163 + 102.0408163 + -2.653061224t + t2 = 0 + 102.0408163 Combine like terms: -102.0408163 + 102.0408163 = 0.0000000 0.0000000 + -2.653061224t + t2 = 0 + 102.0408163 -2.653061224t + t2 = 0 + 102.0408163 Combine like terms: 0 + 102.0408163 = 102.0408163 -2.653061224t + t2 = 102.0408163 The t term is -2.653061224t. Take half its coefficient (-1.326530612). Square it (1.759683465) and add it to both sides. Add '1.759683465' to each side of the equation. -2.653061224t + 1.759683465 + t2 = 102.0408163 + 1.759683465 Reorder the terms: 1.759683465 + -2.653061224t + t2 = 102.0408163 + 1.759683465 Combine like terms: 102.0408163 + 1.759683465 = 103.800499765 1.759683465 + -2.653061224t + t2 = 103.800499765 Factor a perfect square on the left side: (t + -1.326530612)(t + -1.326530612) = 103.800499765 Calculate the square root of the right side: 10.188253028 Break this problem into two subproblems by setting (t + -1.326530612) equal to 10.188253028 and -10.188253028.Subproblem 1
t + -1.326530612 = 10.188253028 Simplifying t + -1.326530612 = 10.188253028 Reorder the terms: -1.326530612 + t = 10.188253028 Solving -1.326530612 + t = 10.188253028 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.326530612' to each side of the equation. -1.326530612 + 1.326530612 + t = 10.188253028 + 1.326530612 Combine like terms: -1.326530612 + 1.326530612 = 0.000000000 0.000000000 + t = 10.188253028 + 1.326530612 t = 10.188253028 + 1.326530612 Combine like terms: 10.188253028 + 1.326530612 = 11.51478364 t = 11.51478364 Simplifying t = 11.51478364Subproblem 2
t + -1.326530612 = -10.188253028 Simplifying t + -1.326530612 = -10.188253028 Reorder the terms: -1.326530612 + t = -10.188253028 Solving -1.326530612 + t = -10.188253028 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.326530612' to each side of the equation. -1.326530612 + 1.326530612 + t = -10.188253028 + 1.326530612 Combine like terms: -1.326530612 + 1.326530612 = 0.000000000 0.000000000 + t = -10.188253028 + 1.326530612 t = -10.188253028 + 1.326530612 Combine like terms: -10.188253028 + 1.326530612 = -8.861722416 t = -8.861722416 Simplifying t = -8.861722416Solution
The solution to the problem is based on the solutions from the subproblems. t = {11.51478364, -8.861722416}
| 10=-16t^2+72t+20 | | 3p*2= | | 5x-320=x | | 320-5x=x | | -2+3=8q-7 | | y=6x^3+5 | | y=17x^4 | | 21=27 | | x-5x=320 | | (3a+6b)-(3a-6b)=0 | | 360x1/12 | | (5+x)(x-3)=0 | | ln(x)-ln(x-7)=1 | | 5a+2b+c+3a+5b+2c=0 | | 16t^2-400t+1000=0 | | 12x-13=3y+b | | 2x2x1/5 | | 8-6x=18x-4 | | 10p+10=4(3p-1) | | (x+3)day+(y-2)dx=0 | | 10x+10=5x+20 | | -16=32(x-1) | | 12x-10=9-(10-3x) | | 5(x+2)-3(x-3)=15-2x | | 0=12x^2-160x+120 | | 5-tan^2x=4 | | 2x+28=x+18 | | 0=-16t^2+72t+20 | | 12x-2+3x=5x-6x+4 | | Tanx^2+tanx=0 | | 3y+6y=27 | | 0=16t^2+72t+20 |