If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + 200t = -3 Reorder the terms: 200t + 16t2 = -3 Solving 200t + 16t2 = -3 Solving for variable 't'. Reorder the terms: 3 + 200t + 16t2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 200t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.1875 + 12.5t + t2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + 12.5t + -0.1875 + t2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + 12.5t + t2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + 12.5t + t2 = 0 + -0.1875 12.5t + t2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 12.5t + t2 = -0.1875 The t term is 12.5t. Take half its coefficient (6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. 12.5t + 39.0625 + t2 = -0.1875 + 39.0625 Reorder the terms: 39.0625 + 12.5t + t2 = -0.1875 + 39.0625 Combine like terms: -0.1875 + 39.0625 = 38.875 39.0625 + 12.5t + t2 = 38.875 Factor a perfect square on the left side: (t + 6.25)(t + 6.25) = 38.875 Calculate the square root of the right side: 6.234981957 Break this problem into two subproblems by setting (t + 6.25) equal to 6.234981957 and -6.234981957.Subproblem 1
t + 6.25 = 6.234981957 Simplifying t + 6.25 = 6.234981957 Reorder the terms: 6.25 + t = 6.234981957 Solving 6.25 + t = 6.234981957 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + t = 6.234981957 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + t = 6.234981957 + -6.25 t = 6.234981957 + -6.25 Combine like terms: 6.234981957 + -6.25 = -0.015018043 t = -0.015018043 Simplifying t = -0.015018043Subproblem 2
t + 6.25 = -6.234981957 Simplifying t + 6.25 = -6.234981957 Reorder the terms: 6.25 + t = -6.234981957 Solving 6.25 + t = -6.234981957 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + t = -6.234981957 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + t = -6.234981957 + -6.25 t = -6.234981957 + -6.25 Combine like terms: -6.234981957 + -6.25 = -12.484981957 t = -12.484981957 Simplifying t = -12.484981957Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.015018043, -12.484981957}
| 3(x+4)=2x-12 | | 5-3[4-(3y-7)]= | | 136-(-11)= | | 7(-8+3h)=21h-49 | | 9m^3-7m^4+8m^7=0 | | 1/3p=2/5p+2/3 | | 6(x+2)/4=2x-5 | | 16t^2+200t=0 | | 8n-(2n+7)=17 | | 52+(-65)= | | .01(x+28)-.28=.01(8x+28) | | B=5A+4C | | (5/x)=(6/x^2)+1 | | -2(r+4)=-27 | | .4(3z+6)+20.4=.7(3z-6) | | 5/x=6/x^2+1 | | A=5B+4C | | x-2x+y/y | | 28-19= | | (2x+32)+6=x+26 | | t^2=6-t | | .3x-1=.1(x+10) | | f(4)=4+9.5 | | 3/10=x/2730 | | 1/m+1/2m=1/6 | | 2(2x+3)+2x=37 | | 7+5n=3n+5 | | x+x+3=5-2(x-5) | | 5/6y=7-11/12y | | x-6-(10x-8)= | | 3+8q=6+7q | | -3a-8(-5a-1)= |