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 + 80t + -4 Reorder the terms: 0 = -4 + 80t + -16t2 Solving 0 = -4 + 80t + -16t2 Solving for variable 't'. Combine like terms: 0 + 4 = 4 4 + -80t + 16t2 = -4 + 80t + -16t2 + 4 + -80t + 16t2 Reorder the terms: 4 + -80t + 16t2 = -4 + 4 + 80t + -80t + -16t2 + 16t2 Combine like terms: -4 + 4 = 0 4 + -80t + 16t2 = 0 + 80t + -80t + -16t2 + 16t2 4 + -80t + 16t2 = 80t + -80t + -16t2 + 16t2 Combine like terms: 80t + -80t = 0 4 + -80t + 16t2 = 0 + -16t2 + 16t2 4 + -80t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 4 + -80t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -20t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -20t + 4t2)' equal to zero and attempt to solve: Simplifying 1 + -20t + 4t2 = 0 Solving 1 + -20t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + -5t + t2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -5t + -0.25 + t2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -5t + t2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -5t + t2 = 0 + -0.25 -5t + t2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -5t + t2 = -0.25 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 = -0.25 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -0.25 + 6.25 Combine like terms: -0.25 + 6.25 = 6 6.25 + -5t + t2 = 6 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = 6 Calculate the square root of the right side: 2.449489743 Break this problem into two subproblems by setting (t + -2.5) equal to 2.449489743 and -2.449489743.Subproblem 1
t + -2.5 = 2.449489743 Simplifying t + -2.5 = 2.449489743 Reorder the terms: -2.5 + t = 2.449489743 Solving -2.5 + t = 2.449489743 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 = 2.449489743 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = 2.449489743 + 2.5 t = 2.449489743 + 2.5 Combine like terms: 2.449489743 + 2.5 = 4.949489743 t = 4.949489743 Simplifying t = 4.949489743Subproblem 2
t + -2.5 = -2.449489743 Simplifying t + -2.5 = -2.449489743 Reorder the terms: -2.5 + t = -2.449489743 Solving -2.5 + t = -2.449489743 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 = -2.449489743 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = -2.449489743 + 2.5 t = -2.449489743 + 2.5 Combine like terms: -2.449489743 + 2.5 = 0.050510257 t = 0.050510257 Simplifying t = 0.050510257Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.949489743, 0.050510257}Solution
t = {4.949489743, 0.050510257}
| 1-6/7x=7/6 | | 2=-16t^2+80t-6 | | -4(w-5)=-7w+47 | | -6+7(-2g-16)=-19g-18 | | 143/5x3.14 | | p^2-9= | | 46=3w-8 | | -8y=-9y-9 | | 72i^2=17 | | 2+(-23)=-47 | | y-4=5/2(x-4) | | -9(14s-4)=18-9(16s-10) | | 14w-13=9+13w-14 | | 2=-16t^2+80t+4 | | 24a+12x= | | 8y+8x+3=9+8x | | 19q=-8(-5q-17)-10 | | 2=-16t^2+80t+6 | | (25b-5)-8(3b+4)=-6 | | 8x-11=9x+7 | | 27+38+x=180 | | Sin*x+3*sin*x=0 | | 48overx=-6 | | 0.5/1.32 | | 19=-3x^3+5 | | 6x-2x=-65 | | 26-7=x | | -1h-3.2=6 | | 5x^2-9=6x | | 5x+0=-14 | | 16t=69 | | Sinx+3sinx=0 |