If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 20 = -16t2 + 80t + 5 Reorder the terms: 20 = 5 + 80t + -16t2 Solving 20 = 5 + 80t + -16t2 Solving for variable 't'. Combine like terms: 20 + -5 = 15 15 + -80t + 16t2 = 5 + 80t + -16t2 + -5 + -80t + 16t2 Reorder the terms: 15 + -80t + 16t2 = 5 + -5 + 80t + -80t + -16t2 + 16t2 Combine like terms: 5 + -5 = 0 15 + -80t + 16t2 = 0 + 80t + -80t + -16t2 + 16t2 15 + -80t + 16t2 = 80t + -80t + -16t2 + 16t2 Combine like terms: 80t + -80t = 0 15 + -80t + 16t2 = 0 + -16t2 + 16t2 15 + -80t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 15 + -80t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.9375 + -5t + t2 = 0 Move the constant term to the right: Add '-0.9375' to each side of the equation. 0.9375 + -5t + -0.9375 + t2 = 0 + -0.9375 Reorder the terms: 0.9375 + -0.9375 + -5t + t2 = 0 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + -5t + t2 = 0 + -0.9375 -5t + t2 = 0 + -0.9375 Combine like terms: 0 + -0.9375 = -0.9375 -5t + t2 = -0.9375 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = -0.9375 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -0.9375 + 6.25 Combine like terms: -0.9375 + 6.25 = 5.3125 6.25 + -5t + t2 = 5.3125 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = 5.3125 Calculate the square root of the right side: 2.304886114 Break this problem into two subproblems by setting (t + -2.5) equal to 2.304886114 and -2.304886114.Subproblem 1
t + -2.5 = 2.304886114 Simplifying t + -2.5 = 2.304886114 Reorder the terms: -2.5 + t = 2.304886114 Solving -2.5 + t = 2.304886114 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = 2.304886114 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = 2.304886114 + 2.5 t = 2.304886114 + 2.5 Combine like terms: 2.304886114 + 2.5 = 4.804886114 t = 4.804886114 Simplifying t = 4.804886114Subproblem 2
t + -2.5 = -2.304886114 Simplifying t + -2.5 = -2.304886114 Reorder the terms: -2.5 + t = -2.304886114 Solving -2.5 + t = -2.304886114 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = -2.304886114 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = -2.304886114 + 2.5 t = -2.304886114 + 2.5 Combine like terms: -2.304886114 + 2.5 = 0.195113886 t = 0.195113886 Simplifying t = 0.195113886Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.804886114, 0.195113886}
| 0=-5x+2y | | 6x^3-10x^2-8x+8=0 | | 375/1000=x/16 | | 105x+9.50x=14.75x+105x | | 6y-(2y+5)=9y-10 | | z=2x+3 | | 37.5/100=x/16 | | 9m^2-45m=0 | | 3(x+7)=2(x+5) | | 4(3+x)=28(x+2) | | 5x-6x+x-6+2x= | | x+50=x+10 | | 19.45=-8.6h-12.8 | | 36-10a=4(5-3a)-2 | | x^3-2x^2+x-4=0 | | F(x)=-9x+3 | | 3(-5b-1)=46-8b | | 20=-16t^2+60t+5 | | 94=-5x-3(7x+12) | | 5y+3=28-y | | -1=1/2h-73/4h | | (d-t)/3=0 | | 10-6x=-2(3x-1) | | .66a+3=.33(4a+1) | | 8n^2-24n-320=0 | | 20=-16t^2+40t+5 | | -4x-12=-60 | | -2/3(6x-27)-4 | | -24-1/8p=3/8o | | 7t+5= | | r=(d-t)/3 | | b^2+10b+12=3 |