If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + 120t + 3 = 200 Reorder the terms: 3 + 120t + 16t2 = 200 Solving 3 + 120t + 16t2 = 200 Solving for variable 't'. Reorder the terms: 3 + -200 + 120t + 16t2 = 200 + -200 Combine like terms: 3 + -200 = -197 -197 + 120t + 16t2 = 200 + -200 Combine like terms: 200 + -200 = 0 -197 + 120t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -12.3125 + 7.5t + t2 = 0 Move the constant term to the right: Add '12.3125' to each side of the equation. -12.3125 + 7.5t + 12.3125 + t2 = 0 + 12.3125 Reorder the terms: -12.3125 + 12.3125 + 7.5t + t2 = 0 + 12.3125 Combine like terms: -12.3125 + 12.3125 = 0.0000 0.0000 + 7.5t + t2 = 0 + 12.3125 7.5t + t2 = 0 + 12.3125 Combine like terms: 0 + 12.3125 = 12.3125 7.5t + t2 = 12.3125 The t term is 7.5t. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5t + 14.0625 + t2 = 12.3125 + 14.0625 Reorder the terms: 14.0625 + 7.5t + t2 = 12.3125 + 14.0625 Combine like terms: 12.3125 + 14.0625 = 26.375 14.0625 + 7.5t + t2 = 26.375 Factor a perfect square on the left side: (t + 3.75)(t + 3.75) = 26.375 Calculate the square root of the right side: 5.135659646 Break this problem into two subproblems by setting (t + 3.75) equal to 5.135659646 and -5.135659646.Subproblem 1
t + 3.75 = 5.135659646 Simplifying t + 3.75 = 5.135659646 Reorder the terms: 3.75 + t = 5.135659646 Solving 3.75 + t = 5.135659646 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + t = 5.135659646 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + t = 5.135659646 + -3.75 t = 5.135659646 + -3.75 Combine like terms: 5.135659646 + -3.75 = 1.385659646 t = 1.385659646 Simplifying t = 1.385659646Subproblem 2
t + 3.75 = -5.135659646 Simplifying t + 3.75 = -5.135659646 Reorder the terms: 3.75 + t = -5.135659646 Solving 3.75 + t = -5.135659646 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + t = -5.135659646 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + t = -5.135659646 + -3.75 t = -5.135659646 + -3.75 Combine like terms: -5.135659646 + -3.75 = -8.885659646 t = -8.885659646 Simplifying t = -8.885659646Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.385659646, -8.885659646}
| -14=-72 | | 2+a=2002 | | 3(p-z)+p^2=p(p+3)-6 | | -(2x-4)-(2x-5)+5=-4(x-1)-(3x+5)+3 | | 0.70x+0.20(140)=0.35(100) | | (2z-6)(z+2)=2z^2-38 | | 44=1/2(8*h) | | 16t^2+120t+3=150 | | -8(x+8)-3=-67 | | 4b+5b=9 | | -6z+4z=-6z+6+5z | | 54x^2+18x-4=0 | | 2a+1=a-5 | | y=ax^2+bx+2c | | 15-(3d+6)=3 | | 9x-2=24x+8 | | 70x+10(70)=60x+60*70 | | 4(-3x-4)=20 | | 96=-8(k-4) | | -11-k/6=-3 | | 150=16t^2+120t+3 | | 4t-5-5t-8t=1-4 | | 4(x+3)+2=4x+9 | | 4x(x-z)=x-5 | | 4.4x+48.1=3.7-10.4x | | -7z-4z=-7z+9+4z | | 2z-5z=z-2+4z | | 90=7x-87+2x+6 | | 4(3x+5)=-30+38 | | 7y+6+4y=64 | | 124=4x-6+3x+88 | | x+(x-2)+(x-1)+(x-1)+(x-4)+(x-5)+(x-3)=39 |