If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16t2 + -220t + -60 Reorder the terms: 0 = -60 + -220t + -16t2 Solving 0 = -60 + -220t + -16t2 Solving for variable 't'. Combine like terms: 0 + 60 = 60 60 + 220t + 16t2 = -60 + -220t + -16t2 + 60 + 220t + 16t2 Reorder the terms: 60 + 220t + 16t2 = -60 + 60 + -220t + 220t + -16t2 + 16t2 Combine like terms: -60 + 60 = 0 60 + 220t + 16t2 = 0 + -220t + 220t + -16t2 + 16t2 60 + 220t + 16t2 = -220t + 220t + -16t2 + 16t2 Combine like terms: -220t + 220t = 0 60 + 220t + 16t2 = 0 + -16t2 + 16t2 60 + 220t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 60 + 220t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(15 + 55t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(15 + 55t + 4t2)' equal to zero and attempt to solve: Simplifying 15 + 55t + 4t2 = 0 Solving 15 + 55t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.75 + 13.75t + t2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + 13.75t + -3.75 + t2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + 13.75t + t2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 13.75t + t2 = 0 + -3.75 13.75t + t2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 13.75t + t2 = -3.75 The t term is 13.75t. Take half its coefficient (6.875). Square it (47.265625) and add it to both sides. Add '47.265625' to each side of the equation. 13.75t + 47.265625 + t2 = -3.75 + 47.265625 Reorder the terms: 47.265625 + 13.75t + t2 = -3.75 + 47.265625 Combine like terms: -3.75 + 47.265625 = 43.515625 47.265625 + 13.75t + t2 = 43.515625 Factor a perfect square on the left side: (t + 6.875)(t + 6.875) = 43.515625 Calculate the square root of the right side: 6.596637401 Break this problem into two subproblems by setting (t + 6.875) equal to 6.596637401 and -6.596637401.Subproblem 1
t + 6.875 = 6.596637401 Simplifying t + 6.875 = 6.596637401 Reorder the terms: 6.875 + t = 6.596637401 Solving 6.875 + t = 6.596637401 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.875' to each side of the equation. 6.875 + -6.875 + t = 6.596637401 + -6.875 Combine like terms: 6.875 + -6.875 = 0.000 0.000 + t = 6.596637401 + -6.875 t = 6.596637401 + -6.875 Combine like terms: 6.596637401 + -6.875 = -0.278362599 t = -0.278362599 Simplifying t = -0.278362599Subproblem 2
t + 6.875 = -6.596637401 Simplifying t + 6.875 = -6.596637401 Reorder the terms: 6.875 + t = -6.596637401 Solving 6.875 + t = -6.596637401 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.875' to each side of the equation. 6.875 + -6.875 + t = -6.596637401 + -6.875 Combine like terms: 6.875 + -6.875 = 0.000 0.000 + t = -6.596637401 + -6.875 t = -6.596637401 + -6.875 Combine like terms: -6.596637401 + -6.875 = -13.471637401 t = -13.471637401 Simplifying t = -13.471637401Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.278362599, -13.471637401}Solution
t = {-0.278362599, -13.471637401}
| 0=-16t^2+220t-60 | | ydx(3x-xy+2)dy=0 | | 3.5+2a=17.5 | | (3x-1)+(6x-11)+(8x-29)=180 | | 5-5g=6g+10 | | 2.3=1.7+q | | -3x^2-5x+14=5 | | 3-4m=5(m-3) | | 16=x-14 | | 3j-4=14 | | .25x=24 | | y+3=27 | | 6j=42 | | 3(4k+14)=10k+-2(k+-7) | | 2.5+b=3 | | 16.25d+8.50d+40=163.75 | | .7a+2=23 | | 7x-75=180 | | 2x+8=16+6x | | 5t=6t-5 | | 2.1b=6.3 | | 5q-3=12 | | 4x^2=12x+28 | | 15=y+8 | | x-9=61 | | 11=j-1 | | 6x-4=e-31 | | -14.06+(26.13)= | | 30=n-5 | | N-9=63 | | 3j+6=15 | | X-3=-6+18 |