If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5(-9.8)(t)(t) + 250(t) + 10 = 0 Multiply 0.5 * -9.8 -4.9t * t + 250(t) + 10 = 0 Multiply t * t -4.9t2 + 250(t) + 10 = 0 Reorder the terms: 10 + 250t + -4.9t2 = 0 Solving 10 + 250t + -4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. -2.040816327 + -51.02040816t + t2 = 0 Move the constant term to the right: Add '2.040816327' to each side of the equation. -2.040816327 + -51.02040816t + 2.040816327 + t2 = 0 + 2.040816327 Reorder the terms: -2.040816327 + 2.040816327 + -51.02040816t + t2 = 0 + 2.040816327 Combine like terms: -2.040816327 + 2.040816327 = 0.000000000 0.000000000 + -51.02040816t + t2 = 0 + 2.040816327 -51.02040816t + t2 = 0 + 2.040816327 Combine like terms: 0 + 2.040816327 = 2.040816327 -51.02040816t + t2 = 2.040816327 The t term is -51.02040816t. Take half its coefficient (-25.51020408). Square it (650.7705122) and add it to both sides. Add '650.7705122' to each side of the equation. -51.02040816t + 650.7705122 + t2 = 2.040816327 + 650.7705122 Reorder the terms: 650.7705122 + -51.02040816t + t2 = 2.040816327 + 650.7705122 Combine like terms: 2.040816327 + 650.7705122 = 652.811328527 650.7705122 + -51.02040816t + t2 = 652.811328527 Factor a perfect square on the left side: (t + -25.51020408)(t + -25.51020408) = 652.811328527 Calculate the square root of the right side: 25.550172769 Break this problem into two subproblems by setting (t + -25.51020408) equal to 25.550172769 and -25.550172769.Subproblem 1
t + -25.51020408 = 25.550172769 Simplifying t + -25.51020408 = 25.550172769 Reorder the terms: -25.51020408 + t = 25.550172769 Solving -25.51020408 + t = 25.550172769 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25.51020408' to each side of the equation. -25.51020408 + 25.51020408 + t = 25.550172769 + 25.51020408 Combine like terms: -25.51020408 + 25.51020408 = 0.00000000 0.00000000 + t = 25.550172769 + 25.51020408 t = 25.550172769 + 25.51020408 Combine like terms: 25.550172769 + 25.51020408 = 51.060376849 t = 51.060376849 Simplifying t = 51.060376849Subproblem 2
t + -25.51020408 = -25.550172769 Simplifying t + -25.51020408 = -25.550172769 Reorder the terms: -25.51020408 + t = -25.550172769 Solving -25.51020408 + t = -25.550172769 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25.51020408' to each side of the equation. -25.51020408 + 25.51020408 + t = -25.550172769 + 25.51020408 Combine like terms: -25.51020408 + 25.51020408 = 0.00000000 0.00000000 + t = -25.550172769 + 25.51020408 t = -25.550172769 + 25.51020408 Combine like terms: -25.550172769 + 25.51020408 = -0.039968689 t = -0.039968689 Simplifying t = -0.039968689Solution
The solution to the problem is based on the solutions from the subproblems. t = {51.060376849, -0.039968689}
| 6-y=36 | | 7d-2d+2d+6=3d | | 2(r+8)= | | 20=-5(6+n) | | (36x^2-12x-18)/(12x^3) | | (x^3+64x)/(x-9) | | 12(3x+3)-5(2x-2)=6x-34 | | 9x-3=4x+1 | | -6=r/5 | | 6x+7=4x-3 | | y+5=5 | | -n+4= | | x+6=2x-1 | | h/-7=8 | | 0.19(10000)-0.05y=0.05(y+10000) | | -x+168=18 | | -11x-2y=-45 | | 7x-2x+2x+6=3x | | 5x-4y=15 | | 86=243-x | | a-1=11 | | 16=80h | | y-1=10x(x-10) | | 3+1m=15 | | 28-u=202 | | 8x^3-2x^2-43x+30=0 | | 16h=80h | | 1115000y-15000=698000y+45000 | | 5+z=-3 | | 39/49*14/45*27/26 | | x+14+x+32=180 | | 211=-v+134 |