If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 25 = -16t2 + -14t + 180 Reorder the terms: 25 = 180 + -14t + -16t2 Solving 25 = 180 + -14t + -16t2 Solving for variable 't'. Combine like terms: 25 + -180 = -155 -155 + 14t + 16t2 = 180 + -14t + -16t2 + -180 + 14t + 16t2 Reorder the terms: -155 + 14t + 16t2 = 180 + -180 + -14t + 14t + -16t2 + 16t2 Combine like terms: 180 + -180 = 0 -155 + 14t + 16t2 = 0 + -14t + 14t + -16t2 + 16t2 -155 + 14t + 16t2 = -14t + 14t + -16t2 + 16t2 Combine like terms: -14t + 14t = 0 -155 + 14t + 16t2 = 0 + -16t2 + 16t2 -155 + 14t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -155 + 14t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -9.6875 + 0.875t + t2 = 0 Move the constant term to the right: Add '9.6875' to each side of the equation. -9.6875 + 0.875t + 9.6875 + t2 = 0 + 9.6875 Reorder the terms: -9.6875 + 9.6875 + 0.875t + t2 = 0 + 9.6875 Combine like terms: -9.6875 + 9.6875 = 0.0000 0.0000 + 0.875t + t2 = 0 + 9.6875 0.875t + t2 = 0 + 9.6875 Combine like terms: 0 + 9.6875 = 9.6875 0.875t + t2 = 9.6875 The t term is 0.875t. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875t + 0.19140625 + t2 = 9.6875 + 0.19140625 Reorder the terms: 0.19140625 + 0.875t + t2 = 9.6875 + 0.19140625 Combine like terms: 9.6875 + 0.19140625 = 9.87890625 0.19140625 + 0.875t + t2 = 9.87890625 Factor a perfect square on the left side: (t + 0.4375)(t + 0.4375) = 9.87890625 Calculate the square root of the right side: 3.14307274 Break this problem into two subproblems by setting (t + 0.4375) equal to 3.14307274 and -3.14307274.Subproblem 1
t + 0.4375 = 3.14307274 Simplifying t + 0.4375 = 3.14307274 Reorder the terms: 0.4375 + t = 3.14307274 Solving 0.4375 + t = 3.14307274 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4375' to each side of the equation. 0.4375 + -0.4375 + t = 3.14307274 + -0.4375 Combine like terms: 0.4375 + -0.4375 = 0.0000 0.0000 + t = 3.14307274 + -0.4375 t = 3.14307274 + -0.4375 Combine like terms: 3.14307274 + -0.4375 = 2.70557274 t = 2.70557274 Simplifying t = 2.70557274Subproblem 2
t + 0.4375 = -3.14307274 Simplifying t + 0.4375 = -3.14307274 Reorder the terms: 0.4375 + t = -3.14307274 Solving 0.4375 + t = -3.14307274 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4375' to each side of the equation. 0.4375 + -0.4375 + t = -3.14307274 + -0.4375 Combine like terms: 0.4375 + -0.4375 = 0.0000 0.0000 + t = -3.14307274 + -0.4375 t = -3.14307274 + -0.4375 Combine like terms: -3.14307274 + -0.4375 = -3.58057274 t = -3.58057274 Simplifying t = -3.58057274Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.70557274, -3.58057274}
| 4x+4y=36 | | w^2+3w+14=0 | | 50=-16t^2-14t+180 | | 7n+6=13 | | 9x^2-22x+8= | | 0=16t^2-14t+180 | | 15b^2-66b-144=0 | | 8n*2+4n=66-5n | | -5.9(2t+6)-1.8(3t-5)= | | 2.39(x+1.4)=-9.66 | | 3y-6=2 | | 5t+3=13 | | 100[0.07(z+4)]= | | 13u+19+4u=22u-46 | | -180=-16t^2-14t | | 27=h^2-6h | | 52x^3-14x^2-6x=0 | | 2x+8=x+13 | | 12p-6.5p+7=-15 | | 12=s^2-4s | | -3a+5+4a=10-26 | | 0=s^2-4s | | 0=p^2+6p+5 | | 8x^2+15x-27=0 | | 7x+4y=-16 | | 63a^8-21a^10= | | 3x=2x+9 | | 13u+19+4u=22u+46 | | 8x^4-48x^3+48x^2=0 | | 4x/5+3/2= | | 8x^2+15x-11=0 | | 8+x+8x^2+x^3= |