If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3t = -16t2 + 56t + 3 Reorder the terms: 3t = 3 + 56t + -16t2 Solving 3t = 3 + 56t + -16t2 Solving for variable 't'. Reorder the terms: -3 + 3t + -56t + 16t2 = 3 + 56t + -16t2 + -3 + -56t + 16t2 Combine like terms: 3t + -56t = -53t -3 + -53t + 16t2 = 3 + 56t + -16t2 + -3 + -56t + 16t2 Reorder the terms: -3 + -53t + 16t2 = 3 + -3 + 56t + -56t + -16t2 + 16t2 Combine like terms: 3 + -3 = 0 -3 + -53t + 16t2 = 0 + 56t + -56t + -16t2 + 16t2 -3 + -53t + 16t2 = 56t + -56t + -16t2 + 16t2 Combine like terms: 56t + -56t = 0 -3 + -53t + 16t2 = 0 + -16t2 + 16t2 -3 + -53t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -3 + -53t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.1875 + -3.3125t + t2 = 0 Move the constant term to the right: Add '0.1875' to each side of the equation. -0.1875 + -3.3125t + 0.1875 + t2 = 0 + 0.1875 Reorder the terms: -0.1875 + 0.1875 + -3.3125t + t2 = 0 + 0.1875 Combine like terms: -0.1875 + 0.1875 = 0.0000 0.0000 + -3.3125t + t2 = 0 + 0.1875 -3.3125t + t2 = 0 + 0.1875 Combine like terms: 0 + 0.1875 = 0.1875 -3.3125t + t2 = 0.1875 The t term is -3.3125t. Take half its coefficient (-1.65625). Square it (2.743164063) and add it to both sides. Add '2.743164063' to each side of the equation. -3.3125t + 2.743164063 + t2 = 0.1875 + 2.743164063 Reorder the terms: 2.743164063 + -3.3125t + t2 = 0.1875 + 2.743164063 Combine like terms: 0.1875 + 2.743164063 = 2.930664063 2.743164063 + -3.3125t + t2 = 2.930664063 Factor a perfect square on the left side: (t + -1.65625)(t + -1.65625) = 2.930664063 Calculate the square root of the right side: 1.711918241 Break this problem into two subproblems by setting (t + -1.65625) equal to 1.711918241 and -1.711918241.Subproblem 1
t + -1.65625 = 1.711918241 Simplifying t + -1.65625 = 1.711918241 Reorder the terms: -1.65625 + t = 1.711918241 Solving -1.65625 + t = 1.711918241 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.65625' to each side of the equation. -1.65625 + 1.65625 + t = 1.711918241 + 1.65625 Combine like terms: -1.65625 + 1.65625 = 0.00000 0.00000 + t = 1.711918241 + 1.65625 t = 1.711918241 + 1.65625 Combine like terms: 1.711918241 + 1.65625 = 3.368168241 t = 3.368168241 Simplifying t = 3.368168241Subproblem 2
t + -1.65625 = -1.711918241 Simplifying t + -1.65625 = -1.711918241 Reorder the terms: -1.65625 + t = -1.711918241 Solving -1.65625 + t = -1.711918241 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.65625' to each side of the equation. -1.65625 + 1.65625 + t = -1.711918241 + 1.65625 Combine like terms: -1.65625 + 1.65625 = 0.00000 0.00000 + t = -1.711918241 + 1.65625 t = -1.711918241 + 1.65625 Combine like terms: -1.711918241 + 1.65625 = -0.055668241 t = -0.055668241 Simplifying t = -0.055668241Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.368168241, -0.055668241}
| 19=-2b+2(b+7) | | 5x+3+63=180 | | -3(-2x-7)=11 | | -2y+7=27 | | -3q+10=7p | | f/5-222=-25 | | 6x+7=x-1 | | 2s+4=-20-3s | | 14x+13=23 | | 4x-3=-.66x+1.66 | | 150m-75m+42750=45000-150m | | x/12-4=13 | | 4m-m-3m+m=15 | | 2x^5-x^4+10x^3-5x^2=0 | | -1-5b=-10-4b | | 3(x-3)-16=2(-x-8)+8 | | -5(-3x+6)=-3(4x-2) | | -6=6m | | w(-5w^3)^-2/w-^4 | | 36=4+40cosx | | 3x(5x-3)=0 | | -7n+6=-85 | | 75+15x=20x | | 6(7x-5)-4x=2 | | 3x=5xy-2 | | 36=4+40cos(x) | | (z)2443.73+(1-0.17-z)*584.28+(0.17)+908.79=561.47 | | 2/7x7/5 | | -22+7r=3(2+7r) | | 3x+7+x=180 | | -5b=-15 | | 11=1+2x+3x |