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 + 41t + 209 Reorder the terms: 0 = 209 + 41t + -16t2 Solving 0 = 209 + 41t + -16t2 Solving for variable 't'. Combine like terms: 0 + -209 = -209 -209 + -41t + 16t2 = 209 + 41t + -16t2 + -209 + -41t + 16t2 Reorder the terms: -209 + -41t + 16t2 = 209 + -209 + 41t + -41t + -16t2 + 16t2 Combine like terms: 209 + -209 = 0 -209 + -41t + 16t2 = 0 + 41t + -41t + -16t2 + 16t2 -209 + -41t + 16t2 = 41t + -41t + -16t2 + 16t2 Combine like terms: 41t + -41t = 0 -209 + -41t + 16t2 = 0 + -16t2 + 16t2 -209 + -41t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -209 + -41t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -13.0625 + -2.5625t + t2 = 0 Move the constant term to the right: Add '13.0625' to each side of the equation. -13.0625 + -2.5625t + 13.0625 + t2 = 0 + 13.0625 Reorder the terms: -13.0625 + 13.0625 + -2.5625t + t2 = 0 + 13.0625 Combine like terms: -13.0625 + 13.0625 = 0.0000 0.0000 + -2.5625t + t2 = 0 + 13.0625 -2.5625t + t2 = 0 + 13.0625 Combine like terms: 0 + 13.0625 = 13.0625 -2.5625t + t2 = 13.0625 The t term is -2.5625t. Take half its coefficient (-1.28125). Square it (1.641601563) and add it to both sides. Add '1.641601563' to each side of the equation. -2.5625t + 1.641601563 + t2 = 13.0625 + 1.641601563 Reorder the terms: 1.641601563 + -2.5625t + t2 = 13.0625 + 1.641601563 Combine like terms: 13.0625 + 1.641601563 = 14.704101563 1.641601563 + -2.5625t + t2 = 14.704101563 Factor a perfect square on the left side: (t + -1.28125)(t + -1.28125) = 14.704101563 Calculate the square root of the right side: 3.834592751 Break this problem into two subproblems by setting (t + -1.28125) equal to 3.834592751 and -3.834592751.Subproblem 1
t + -1.28125 = 3.834592751 Simplifying t + -1.28125 = 3.834592751 Reorder the terms: -1.28125 + t = 3.834592751 Solving -1.28125 + t = 3.834592751 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.28125' to each side of the equation. -1.28125 + 1.28125 + t = 3.834592751 + 1.28125 Combine like terms: -1.28125 + 1.28125 = 0.00000 0.00000 + t = 3.834592751 + 1.28125 t = 3.834592751 + 1.28125 Combine like terms: 3.834592751 + 1.28125 = 5.115842751 t = 5.115842751 Simplifying t = 5.115842751Subproblem 2
t + -1.28125 = -3.834592751 Simplifying t + -1.28125 = -3.834592751 Reorder the terms: -1.28125 + t = -3.834592751 Solving -1.28125 + t = -3.834592751 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.28125' to each side of the equation. -1.28125 + 1.28125 + t = -3.834592751 + 1.28125 Combine like terms: -1.28125 + 1.28125 = 0.00000 0.00000 + t = -3.834592751 + 1.28125 t = -3.834592751 + 1.28125 Combine like terms: -3.834592751 + 1.28125 = -2.553342751 t = -2.553342751 Simplifying t = -2.553342751Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.115842751, -2.553342751}
| ln(3x)=3ln(x) | | 345(x+75)=45 | | 2x=3+-0.5y | | 9j-7+3j=6j-10j+3j | | .25+0.5x=2.25 | | -5(-3x+2)-2=2 | | 6k+2=2k-14 | | -5(-3x+2)-2=-2 | | -7x+4=-6x+1 | | 5(2x+4)-3=3 | | 49x-20x-10=0 | | (3x-4)+2=1 | | 2x=-6+-12 | | 2(x+4+3)=6 | | 6+-12=6 | | -5m+6=-8m+3(-8-4m) | | 6(1+5y)=(m-2) | | -3(x-3)+3=6 | | 6x-10+3x=0 | | -8(-x-6)+10=-2 | | 1208-41x=14x+53 | | -8(-x-6)+10=2 | | 5h(t)=7t-t^2 | | 12y-2=13y+4 | | 9x^2+x-22=0 | | 6-4=6x-8x+8 | | 3(2x-3)+2=3 | | 10x-9=2-5x | | 4x-2=13y+4 | | 7x-13-4x=7x-6 | | x^2-12x+228=0 | | 6x(3x+10)=14 |