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 + 80t + 32 t = -16t2 + 80t + 32 Reorder the terms: t = 32 + 80t + -16t2 Solving t = 32 + 80t + -16t2 Solving for variable 't'. Reorder the terms: -32 + t + -80t + 16t2 = 32 + 80t + -16t2 + -32 + -80t + 16t2 Combine like terms: t + -80t = -79t -32 + -79t + 16t2 = 32 + 80t + -16t2 + -32 + -80t + 16t2 Reorder the terms: -32 + -79t + 16t2 = 32 + -32 + 80t + -80t + -16t2 + 16t2 Combine like terms: 32 + -32 = 0 -32 + -79t + 16t2 = 0 + 80t + -80t + -16t2 + 16t2 -32 + -79t + 16t2 = 80t + -80t + -16t2 + 16t2 Combine like terms: 80t + -80t = 0 -32 + -79t + 16t2 = 0 + -16t2 + 16t2 -32 + -79t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -32 + -79t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -2 + -4.9375t + t2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + -4.9375t + 2 + t2 = 0 + 2 Reorder the terms: -2 + 2 + -4.9375t + t2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4.9375t + t2 = 0 + 2 -4.9375t + t2 = 0 + 2 Combine like terms: 0 + 2 = 2 -4.9375t + t2 = 2 The t term is -4.9375t. Take half its coefficient (-2.46875). Square it (6.094726563) and add it to both sides. Add '6.094726563' to each side of the equation. -4.9375t + 6.094726563 + t2 = 2 + 6.094726563 Reorder the terms: 6.094726563 + -4.9375t + t2 = 2 + 6.094726563 Combine like terms: 2 + 6.094726563 = 8.094726563 6.094726563 + -4.9375t + t2 = 8.094726563 Factor a perfect square on the left side: (t + -2.46875)(t + -2.46875) = 8.094726563 Calculate the square root of the right side: 2.845123295 Break this problem into two subproblems by setting (t + -2.46875) equal to 2.845123295 and -2.845123295.Subproblem 1
t + -2.46875 = 2.845123295 Simplifying t + -2.46875 = 2.845123295 Reorder the terms: -2.46875 + t = 2.845123295 Solving -2.46875 + t = 2.845123295 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.46875' to each side of the equation. -2.46875 + 2.46875 + t = 2.845123295 + 2.46875 Combine like terms: -2.46875 + 2.46875 = 0.00000 0.00000 + t = 2.845123295 + 2.46875 t = 2.845123295 + 2.46875 Combine like terms: 2.845123295 + 2.46875 = 5.313873295 t = 5.313873295 Simplifying t = 5.313873295Subproblem 2
t + -2.46875 = -2.845123295 Simplifying t + -2.46875 = -2.845123295 Reorder the terms: -2.46875 + t = -2.845123295 Solving -2.46875 + t = -2.845123295 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.46875' to each side of the equation. -2.46875 + 2.46875 + t = -2.845123295 + 2.46875 Combine like terms: -2.46875 + 2.46875 = 0.00000 0.00000 + t = -2.845123295 + 2.46875 t = -2.845123295 + 2.46875 Combine like terms: -2.845123295 + 2.46875 = -0.376373295 t = -0.376373295 Simplifying t = -0.376373295Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.313873295, -0.376373295}
| 15x-138=5x-8 | | 6t-5+2t= | | (t)=-16t^2+16t+4 | | z^2+3z+3-i=0 | | (t)=16t^2+16t+4 | | 6-3x=8-3x | | 2x+5=-37-10x | | 4r+90+68=180 | | x+0.25y=8 | | 5=-2x+5 | | 5=-2+25 | | (2x^2+4x+3)-(6x^2+3x^3-4)= | | 5x=-2+25 | | 2n+6=36-3n | | 8x+9(-6x)-x= | | 24-3v=2v+4 | | 122-4x=2 | | 4a-6b-3a-3b= | | 0.9*x=26599 | | 22/4-13/4= | | 6(2x+1)-3x=-2(x-15)+5x | | 4(x-3)-6x= | | 12-1.8x=2.8-2.7x | | 6+.25x=0.8x-5 | | 4x+2=u+221A | | -7-2(5y+8)=9x+8 | | 8x+6x=2 | | 23-8x=35x-20 | | -2y-5(3x-1)=4y-2 | | y=x^3+9x^2+23x+15 | | 7z-2x=25 | | b=sin(2x) |