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 + 100t + 5 Reorder the terms: 20 = 5 + 100t + -16t2 Solving 20 = 5 + 100t + -16t2 Solving for variable 't'. Combine like terms: 20 + -5 = 15 15 + -100t + 16t2 = 5 + 100t + -16t2 + -5 + -100t + 16t2 Reorder the terms: 15 + -100t + 16t2 = 5 + -5 + 100t + -100t + -16t2 + 16t2 Combine like terms: 5 + -5 = 0 15 + -100t + 16t2 = 0 + 100t + -100t + -16t2 + 16t2 15 + -100t + 16t2 = 100t + -100t + -16t2 + 16t2 Combine like terms: 100t + -100t = 0 15 + -100t + 16t2 = 0 + -16t2 + 16t2 15 + -100t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 15 + -100t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.9375 + -6.25t + t2 = 0 Move the constant term to the right: Add '-0.9375' to each side of the equation. 0.9375 + -6.25t + -0.9375 + t2 = 0 + -0.9375 Reorder the terms: 0.9375 + -0.9375 + -6.25t + t2 = 0 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + -6.25t + t2 = 0 + -0.9375 -6.25t + t2 = 0 + -0.9375 Combine like terms: 0 + -0.9375 = -0.9375 -6.25t + t2 = -0.9375 The t term is -6.25t. Take half its coefficient (-3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. -6.25t + 9.765625 + t2 = -0.9375 + 9.765625 Reorder the terms: 9.765625 + -6.25t + t2 = -0.9375 + 9.765625 Combine like terms: -0.9375 + 9.765625 = 8.828125 9.765625 + -6.25t + t2 = 8.828125 Factor a perfect square on the left side: (t + -3.125)(t + -3.125) = 8.828125 Calculate the square root of the right side: 2.971216081 Break this problem into two subproblems by setting (t + -3.125) equal to 2.971216081 and -2.971216081.Subproblem 1
t + -3.125 = 2.971216081 Simplifying t + -3.125 = 2.971216081 Reorder the terms: -3.125 + t = 2.971216081 Solving -3.125 + t = 2.971216081 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.125' to each side of the equation. -3.125 + 3.125 + t = 2.971216081 + 3.125 Combine like terms: -3.125 + 3.125 = 0.000 0.000 + t = 2.971216081 + 3.125 t = 2.971216081 + 3.125 Combine like terms: 2.971216081 + 3.125 = 6.096216081 t = 6.096216081 Simplifying t = 6.096216081Subproblem 2
t + -3.125 = -2.971216081 Simplifying t + -3.125 = -2.971216081 Reorder the terms: -3.125 + t = -2.971216081 Solving -3.125 + t = -2.971216081 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.125' to each side of the equation. -3.125 + 3.125 + t = -2.971216081 + 3.125 Combine like terms: -3.125 + 3.125 = 0.000 0.000 + t = -2.971216081 + 3.125 t = -2.971216081 + 3.125 Combine like terms: -2.971216081 + 3.125 = 0.153783919 t = 0.153783919 Simplifying t = 0.153783919Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.096216081, 0.153783919}
| 8-3n=-3+2n | | 4k^2-10=0 | | x^2-6x+9=19 | | Z=3+2x | | 20=-16t^2+80t+5 | | 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 |