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 + 47t + 260 Reorder the terms: 0 = 260 + 47t + -16t2 Solving 0 = 260 + 47t + -16t2 Solving for variable 't'. Combine like terms: 0 + -260 = -260 -260 + -47t + 16t2 = 260 + 47t + -16t2 + -260 + -47t + 16t2 Reorder the terms: -260 + -47t + 16t2 = 260 + -260 + 47t + -47t + -16t2 + 16t2 Combine like terms: 260 + -260 = 0 -260 + -47t + 16t2 = 0 + 47t + -47t + -16t2 + 16t2 -260 + -47t + 16t2 = 47t + -47t + -16t2 + 16t2 Combine like terms: 47t + -47t = 0 -260 + -47t + 16t2 = 0 + -16t2 + 16t2 -260 + -47t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -260 + -47t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -16.25 + -2.9375t + t2 = 0 Move the constant term to the right: Add '16.25' to each side of the equation. -16.25 + -2.9375t + 16.25 + t2 = 0 + 16.25 Reorder the terms: -16.25 + 16.25 + -2.9375t + t2 = 0 + 16.25 Combine like terms: -16.25 + 16.25 = 0.00 0.00 + -2.9375t + t2 = 0 + 16.25 -2.9375t + t2 = 0 + 16.25 Combine like terms: 0 + 16.25 = 16.25 -2.9375t + t2 = 16.25 The t term is -2.9375t. Take half its coefficient (-1.46875). Square it (2.157226563) and add it to both sides. Add '2.157226563' to each side of the equation. -2.9375t + 2.157226563 + t2 = 16.25 + 2.157226563 Reorder the terms: 2.157226563 + -2.9375t + t2 = 16.25 + 2.157226563 Combine like terms: 16.25 + 2.157226563 = 18.407226563 2.157226563 + -2.9375t + t2 = 18.407226563 Factor a perfect square on the left side: (t + -1.46875)(t + -1.46875) = 18.407226563 Calculate the square root of the right side: 4.290364386 Break this problem into two subproblems by setting (t + -1.46875) equal to 4.290364386 and -4.290364386.Subproblem 1
t + -1.46875 = 4.290364386 Simplifying t + -1.46875 = 4.290364386 Reorder the terms: -1.46875 + t = 4.290364386 Solving -1.46875 + t = 4.290364386 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.46875' to each side of the equation. -1.46875 + 1.46875 + t = 4.290364386 + 1.46875 Combine like terms: -1.46875 + 1.46875 = 0.00000 0.00000 + t = 4.290364386 + 1.46875 t = 4.290364386 + 1.46875 Combine like terms: 4.290364386 + 1.46875 = 5.759114386 t = 5.759114386 Simplifying t = 5.759114386Subproblem 2
t + -1.46875 = -4.290364386 Simplifying t + -1.46875 = -4.290364386 Reorder the terms: -1.46875 + t = -4.290364386 Solving -1.46875 + t = -4.290364386 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.46875' to each side of the equation. -1.46875 + 1.46875 + t = -4.290364386 + 1.46875 Combine like terms: -1.46875 + 1.46875 = 0.00000 0.00000 + t = -4.290364386 + 1.46875 t = -4.290364386 + 1.46875 Combine like terms: -4.290364386 + 1.46875 = -2.821614386 t = -2.821614386 Simplifying t = -2.821614386Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.759114386, -2.821614386}
| h(t)=-16t^2+47t+260 | | (1/3)w-5=(4/3) | | 9x^2+2x-5=0 | | =-16t^2+47t+260 | | 4x(-2x+3)=8x-33 | | 7(5x+8)=13x-4 | | 52=(4x+1)(1x+1) | | 1-x+1.5x=1.2 | | 4.3y=23.65 | | 16-a+4a=7 | | 6(x)=2x^2-13 | | -6(t-7)-(t+9)=9 | | 9w^5x^4/27w^4x^3 | | r+0.2=8.5 | | 6(6x-1)=37 | | 7/6=n/3 | | 16=(d+6) | | 2cos^2(x)-8=-6 | | 5x-4x+3x+8= | | 3x+5x-14=54 | | (1-u)(5u+9)=0 | | 14=11(x+3) | | 11/13=u/5 | | x+8(180000-.125x)=1440000 | | m=4.25+.15x | | n=3.65+.35x | | Z+5=-4z+20 | | x*4+12=40 | | x^2-1818=0 | | x*4+12= | | 1.5y+2x=15 | | x+8y=1440000 |