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 + 55t + 24 Reorder the terms: 0 = 24 + 55t + -16t2 Solving 0 = 24 + 55t + -16t2 Solving for variable 't'. Combine like terms: 0 + -24 = -24 -24 + -55t + 16t2 = 24 + 55t + -16t2 + -24 + -55t + 16t2 Reorder the terms: -24 + -55t + 16t2 = 24 + -24 + 55t + -55t + -16t2 + 16t2 Combine like terms: 24 + -24 = 0 -24 + -55t + 16t2 = 0 + 55t + -55t + -16t2 + 16t2 -24 + -55t + 16t2 = 55t + -55t + -16t2 + 16t2 Combine like terms: 55t + -55t = 0 -24 + -55t + 16t2 = 0 + -16t2 + 16t2 -24 + -55t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -24 + -55t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -1.5 + -3.4375t + t2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -3.4375t + 1.5 + t2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -3.4375t + t2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -3.4375t + t2 = 0 + 1.5 -3.4375t + t2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -3.4375t + t2 = 1.5 The t term is -3.4375t. Take half its coefficient (-1.71875). Square it (2.954101563) and add it to both sides. Add '2.954101563' to each side of the equation. -3.4375t + 2.954101563 + t2 = 1.5 + 2.954101563 Reorder the terms: 2.954101563 + -3.4375t + t2 = 1.5 + 2.954101563 Combine like terms: 1.5 + 2.954101563 = 4.454101563 2.954101563 + -3.4375t + t2 = 4.454101563 Factor a perfect square on the left side: (t + -1.71875)(t + -1.71875) = 4.454101563 Calculate the square root of the right side: 2.110474251 Break this problem into two subproblems by setting (t + -1.71875) equal to 2.110474251 and -2.110474251.Subproblem 1
t + -1.71875 = 2.110474251 Simplifying t + -1.71875 = 2.110474251 Reorder the terms: -1.71875 + t = 2.110474251 Solving -1.71875 + t = 2.110474251 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.71875' to each side of the equation. -1.71875 + 1.71875 + t = 2.110474251 + 1.71875 Combine like terms: -1.71875 + 1.71875 = 0.00000 0.00000 + t = 2.110474251 + 1.71875 t = 2.110474251 + 1.71875 Combine like terms: 2.110474251 + 1.71875 = 3.829224251 t = 3.829224251 Simplifying t = 3.829224251Subproblem 2
t + -1.71875 = -2.110474251 Simplifying t + -1.71875 = -2.110474251 Reorder the terms: -1.71875 + t = -2.110474251 Solving -1.71875 + t = -2.110474251 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.71875' to each side of the equation. -1.71875 + 1.71875 + t = -2.110474251 + 1.71875 Combine like terms: -1.71875 + 1.71875 = 0.00000 0.00000 + t = -2.110474251 + 1.71875 t = -2.110474251 + 1.71875 Combine like terms: -2.110474251 + 1.71875 = -0.391724251 t = -0.391724251 Simplifying t = -0.391724251Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.829224251, -0.391724251}
| 2/3z=4-5/6z | | 13=w+11 | | 4x(x-2)-5x(x-1)=0 | | 56=-8z | | 8=u+10 | | 54=3v | | 4(a-2)=3(a+12) | | 4y+6y=10 | | 22+n=-28 | | 3/5x-147 | | 13=w-10 | | w+12=14 | | 2w-3w=89-92 | | 5(3x^2-6x-33)=0 | | (x/x-2)+3=2/x-2 | | 8-7x=57 | | (x+1)(x-6)(4x+8)=0 | | f(x)=cos^3(2x) | | (x+10)+(x-2)=90 | | Cos(28)=8/x | | -3=y/2-8 | | 14=a/28 | | x^3-12x^2=16x | | M-225=548 | | b^2+8b+79=67 | | 7r^2-140r+700=0 | | 7/r-4/s | | 49x+4x-3=0 | | x-1/3-7=x-7/2 | | x^100=0.95 | | 7x+4x-3=0 | | 30=3(5)x+4-14 |