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 + 1000t + 50 Reorder the terms: 0 = 50 + 1000t + -16t2 Solving 0 = 50 + 1000t + -16t2 Solving for variable 't'. Combine like terms: 0 + -50 = -50 -50 + -1000t + 16t2 = 50 + 1000t + -16t2 + -50 + -1000t + 16t2 Reorder the terms: -50 + -1000t + 16t2 = 50 + -50 + 1000t + -1000t + -16t2 + 16t2 Combine like terms: 50 + -50 = 0 -50 + -1000t + 16t2 = 0 + 1000t + -1000t + -16t2 + 16t2 -50 + -1000t + 16t2 = 1000t + -1000t + -16t2 + 16t2 Combine like terms: 1000t + -1000t = 0 -50 + -1000t + 16t2 = 0 + -16t2 + 16t2 -50 + -1000t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -50 + -1000t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-25 + -500t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-25 + -500t + 8t2)' equal to zero and attempt to solve: Simplifying -25 + -500t + 8t2 = 0 Solving -25 + -500t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -3.125 + -62.5t + t2 = 0 Move the constant term to the right: Add '3.125' to each side of the equation. -3.125 + -62.5t + 3.125 + t2 = 0 + 3.125 Reorder the terms: -3.125 + 3.125 + -62.5t + t2 = 0 + 3.125 Combine like terms: -3.125 + 3.125 = 0.000 0.000 + -62.5t + t2 = 0 + 3.125 -62.5t + t2 = 0 + 3.125 Combine like terms: 0 + 3.125 = 3.125 -62.5t + t2 = 3.125 The t term is -62.5t. Take half its coefficient (-31.25). Square it (976.5625) and add it to both sides. Add '976.5625' to each side of the equation. -62.5t + 976.5625 + t2 = 3.125 + 976.5625 Reorder the terms: 976.5625 + -62.5t + t2 = 3.125 + 976.5625 Combine like terms: 3.125 + 976.5625 = 979.6875 976.5625 + -62.5t + t2 = 979.6875 Factor a perfect square on the left side: (t + -31.25)(t + -31.25) = 979.6875 Calculate the square root of the right side: 31.299960064 Break this problem into two subproblems by setting (t + -31.25) equal to 31.299960064 and -31.299960064.Subproblem 1
t + -31.25 = 31.299960064 Simplifying t + -31.25 = 31.299960064 Reorder the terms: -31.25 + t = 31.299960064 Solving -31.25 + t = 31.299960064 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '31.25' to each side of the equation. -31.25 + 31.25 + t = 31.299960064 + 31.25 Combine like terms: -31.25 + 31.25 = 0.00 0.00 + t = 31.299960064 + 31.25 t = 31.299960064 + 31.25 Combine like terms: 31.299960064 + 31.25 = 62.549960064 t = 62.549960064 Simplifying t = 62.549960064Subproblem 2
t + -31.25 = -31.299960064 Simplifying t + -31.25 = -31.299960064 Reorder the terms: -31.25 + t = -31.299960064 Solving -31.25 + t = -31.299960064 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '31.25' to each side of the equation. -31.25 + 31.25 + t = -31.299960064 + 31.25 Combine like terms: -31.25 + 31.25 = 0.00 0.00 + t = -31.299960064 + 31.25 t = -31.299960064 + 31.25 Combine like terms: -31.299960064 + 31.25 = -0.049960064 t = -0.049960064 Simplifying t = -0.049960064Solution
The solution to the problem is based on the solutions from the subproblems. t = {62.549960064, -0.049960064}Solution
t = {62.549960064, -0.049960064}
| -5+16=-59 | | 24.25=-16t^2+12t+22 | | 2r+2(r+2)=196 | | 40+x=1200 | | -17+b=13 | | y+8=5(x-6) | | y-3=-5(x+20) | | 4x-3(4x+6)=18 | | 3.9*x=5.85 | | 23.76=-16t^2+12t+22 | | -gh-15=93 | | 9=-5(-2)+9 | | 9=-5(-2)-1 | | x+y=4.64 | | 9=-5(-2)-13 | | Y=x^2-18x-59 | | 9=5(-2)+1 | | 9x^4+3x^3=-12x^3 | | -6=y^2-y | | 3(n-14)-7(n-18)=2 | | 5+x^2= | | 0=3x^2+25x-5.9 | | 7+2+x=180 | | -3(2t-4)+4t=5t-3 | | -4(2y+3)-11=-4(y+8)+2y | | -3(5t-4)+2t=6t-6 | | 7m-3=-15+4m | | 0=-.8t^2+14.4t+2 | | 2x-9=58 | | 9p-23=9+p | | 54=-.8t^2+14.4t+2 | | 6385.8682=B*18.1 |