If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying t = -16t2 + 20t + 6 Reorder the terms: t = 6 + 20t + -16t2 Solving t = 6 + 20t + -16t2 Solving for variable 't'. Reorder the terms: -6 + t + -20t + 16t2 = 6 + 20t + -16t2 + -6 + -20t + 16t2 Combine like terms: t + -20t = -19t -6 + -19t + 16t2 = 6 + 20t + -16t2 + -6 + -20t + 16t2 Reorder the terms: -6 + -19t + 16t2 = 6 + -6 + 20t + -20t + -16t2 + 16t2 Combine like terms: 6 + -6 = 0 -6 + -19t + 16t2 = 0 + 20t + -20t + -16t2 + 16t2 -6 + -19t + 16t2 = 20t + -20t + -16t2 + 16t2 Combine like terms: 20t + -20t = 0 -6 + -19t + 16t2 = 0 + -16t2 + 16t2 -6 + -19t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -6 + -19t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.375 + -1.1875t + t2 = 0 Move the constant term to the right: Add '0.375' to each side of the equation. -0.375 + -1.1875t + 0.375 + t2 = 0 + 0.375 Reorder the terms: -0.375 + 0.375 + -1.1875t + t2 = 0 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + -1.1875t + t2 = 0 + 0.375 -1.1875t + t2 = 0 + 0.375 Combine like terms: 0 + 0.375 = 0.375 -1.1875t + t2 = 0.375 The t term is -1.1875t. Take half its coefficient (-0.59375). Square it (0.3525390625) and add it to both sides. Add '0.3525390625' to each side of the equation. -1.1875t + 0.3525390625 + t2 = 0.375 + 0.3525390625 Reorder the terms: 0.3525390625 + -1.1875t + t2 = 0.375 + 0.3525390625 Combine like terms: 0.375 + 0.3525390625 = 0.7275390625 0.3525390625 + -1.1875t + t2 = 0.7275390625 Factor a perfect square on the left side: (t + -0.59375)(t + -0.59375) = 0.7275390625 Calculate the square root of the right side: 0.852959004 Break this problem into two subproblems by setting (t + -0.59375) equal to 0.852959004 and -0.852959004.Subproblem 1
t + -0.59375 = 0.852959004 Simplifying t + -0.59375 = 0.852959004 Reorder the terms: -0.59375 + t = 0.852959004 Solving -0.59375 + t = 0.852959004 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.59375' to each side of the equation. -0.59375 + 0.59375 + t = 0.852959004 + 0.59375 Combine like terms: -0.59375 + 0.59375 = 0.00000 0.00000 + t = 0.852959004 + 0.59375 t = 0.852959004 + 0.59375 Combine like terms: 0.852959004 + 0.59375 = 1.446709004 t = 1.446709004 Simplifying t = 1.446709004Subproblem 2
t + -0.59375 = -0.852959004 Simplifying t + -0.59375 = -0.852959004 Reorder the terms: -0.59375 + t = -0.852959004 Solving -0.59375 + t = -0.852959004 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.59375' to each side of the equation. -0.59375 + 0.59375 + t = -0.852959004 + 0.59375 Combine like terms: -0.59375 + 0.59375 = 0.00000 0.00000 + t = -0.852959004 + 0.59375 t = -0.852959004 + 0.59375 Combine like terms: -0.852959004 + 0.59375 = -0.259209004 t = -0.259209004 Simplifying t = -0.259209004Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.446709004, -0.259209004}
| 4x-5=2+3(c-3) | | 7y=-14+5x | | 21/x=15/33 | | 1a^2-4=0 | | 7x=y+28 | | 2t-22t+21=0 | | (-6+(-y))-y=10 | | X-1.4=x-1.6 | | 3x-3.1=x+2.4 | | y+2xy=x^3 | | 2x-1.4=x+3.2 | | (x-7)/4= | | 8x-10=9x-2 | | 4y+8=4(2y+3) | | X-1(-8)=6 | | (5/9)x-1/3=3 | | 9(2s)-3s=15 | | 8x+4y=57 | | 9r-3s=15 | | 5n^6-1n-5n^4+5n^4+4n^4+3n= | | (-3x+4)(-3x+4)=20 | | (4-7(5-7)+7)= | | w^2-6w+24=0 | | x+0.08x=201.96 | | x-0.08x=201.96 | | 2x^2-21x-2=0 | | x-0.65x=189 | | x-6.5x=189 | | 0.6x+x=192 | | 8(3n+2)=8(7n+9)+9 | | (2x-1)(x+3)=204 | | 63/117 |