If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16t2 + 117t + 3 Reorder the terms: 0 = 3 + 117t + -16t2 Solving 0 = 3 + 117t + -16t2 Solving for variable 't'. Combine like terms: 0 + -3 = -3 -3 + -117t + 16t2 = 3 + 117t + -16t2 + -3 + -117t + 16t2 Reorder the terms: -3 + -117t + 16t2 = 3 + -3 + 117t + -117t + -16t2 + 16t2 Combine like terms: 3 + -3 = 0 -3 + -117t + 16t2 = 0 + 117t + -117t + -16t2 + 16t2 -3 + -117t + 16t2 = 117t + -117t + -16t2 + 16t2 Combine like terms: 117t + -117t = 0 -3 + -117t + 16t2 = 0 + -16t2 + 16t2 -3 + -117t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -3 + -117t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.1875 + -7.3125t + t2 = 0 Move the constant term to the right: Add '0.1875' to each side of the equation. -0.1875 + -7.3125t + 0.1875 + t2 = 0 + 0.1875 Reorder the terms: -0.1875 + 0.1875 + -7.3125t + t2 = 0 + 0.1875 Combine like terms: -0.1875 + 0.1875 = 0.0000 0.0000 + -7.3125t + t2 = 0 + 0.1875 -7.3125t + t2 = 0 + 0.1875 Combine like terms: 0 + 0.1875 = 0.1875 -7.3125t + t2 = 0.1875 The t term is -7.3125t. Take half its coefficient (-3.65625). Square it (13.36816406) and add it to both sides. Add '13.36816406' to each side of the equation. -7.3125t + 13.36816406 + t2 = 0.1875 + 13.36816406 Reorder the terms: 13.36816406 + -7.3125t + t2 = 0.1875 + 13.36816406 Combine like terms: 0.1875 + 13.36816406 = 13.55566406 13.36816406 + -7.3125t + t2 = 13.55566406 Factor a perfect square on the left side: (t + -3.65625)(t + -3.65625) = 13.55566406 Calculate the square root of the right side: 3.681801741 Break this problem into two subproblems by setting (t + -3.65625) equal to 3.681801741 and -3.681801741.Subproblem 1
t + -3.65625 = 3.681801741 Simplifying t + -3.65625 = 3.681801741 Reorder the terms: -3.65625 + t = 3.681801741 Solving -3.65625 + t = 3.681801741 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.65625' to each side of the equation. -3.65625 + 3.65625 + t = 3.681801741 + 3.65625 Combine like terms: -3.65625 + 3.65625 = 0.00000 0.00000 + t = 3.681801741 + 3.65625 t = 3.681801741 + 3.65625 Combine like terms: 3.681801741 + 3.65625 = 7.338051741 t = 7.338051741 Simplifying t = 7.338051741Subproblem 2
t + -3.65625 = -3.681801741 Simplifying t + -3.65625 = -3.681801741 Reorder the terms: -3.65625 + t = -3.681801741 Solving -3.65625 + t = -3.681801741 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.65625' to each side of the equation. -3.65625 + 3.65625 + t = -3.681801741 + 3.65625 Combine like terms: -3.65625 + 3.65625 = 0.00000 0.00000 + t = -3.681801741 + 3.65625 t = -3.681801741 + 3.65625 Combine like terms: -3.681801741 + 3.65625 = -0.025551741 t = -0.025551741 Simplifying t = -0.025551741Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.338051741, -0.025551741}
| 33/3=132/x | | -7=8-(9-a) | | 3/4(4-24) | | 6x-4+6x=-16 | | 11-2(3n-10)=5(4-n) | | 330=3x^2+2x+6 | | 4x+23=78 | | -7y-8=6y+1 | | -5/6t=9/4 | | 8(k+7)=12k-4 | | 7/32=-y/8 | | (2-2i)x^2-(11+9i)-16+6i=0 | | 3.70x+75=2.58 | | 2x^2-20x-112=0 | | 7y=-7/3 | | 9/2a=18 | | 5/9(g=18)1/6g=3 | | 28x^2+144x-144=0 | | 3.70+75=2.58 | | 5x+2(x+4)=4x+2x+17 | | 3(2x+1)-x=5(x+1)-2 | | 280x^2+256=544x | | 915(100)= | | 6n=-3n+36 | | 100*0.1= | | 4x+27=-72 | | 5(p+6)=9 | | 0.06x+0.07(x-1700)= | | 7/8=x-1/6 | | 0.07x+0.06(x-1700)= | | 1.50x+6=4.20 | | 1=a-13/-6 |