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 + 32t + 0.5 Reorder the terms: t = 0.5 + 32t + -16t2 Solving t = 0.5 + 32t + -16t2 Solving for variable 't'. Reorder the terms: -0.5 + t + -32t + 16t2 = 0.5 + 32t + -16t2 + -0.5 + -32t + 16t2 Combine like terms: t + -32t = -31t -0.5 + -31t + 16t2 = 0.5 + 32t + -16t2 + -0.5 + -32t + 16t2 Reorder the terms: -0.5 + -31t + 16t2 = 0.5 + -0.5 + 32t + -32t + -16t2 + 16t2 Combine like terms: 0.5 + -0.5 = 0.0 -0.5 + -31t + 16t2 = 0.0 + 32t + -32t + -16t2 + 16t2 -0.5 + -31t + 16t2 = 32t + -32t + -16t2 + 16t2 Combine like terms: 32t + -32t = 0 -0.5 + -31t + 16t2 = 0 + -16t2 + 16t2 -0.5 + -31t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -0.5 + -31t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.03125 + -1.9375t + t2 = 0 Move the constant term to the right: Add '0.03125' to each side of the equation. -0.03125 + -1.9375t + 0.03125 + t2 = 0 + 0.03125 Reorder the terms: -0.03125 + 0.03125 + -1.9375t + t2 = 0 + 0.03125 Combine like terms: -0.03125 + 0.03125 = 0.00000 0.00000 + -1.9375t + t2 = 0 + 0.03125 -1.9375t + t2 = 0 + 0.03125 Combine like terms: 0 + 0.03125 = 0.03125 -1.9375t + t2 = 0.03125 The t term is -1.9375t. Take half its coefficient (-0.96875). Square it (0.9384765625) and add it to both sides. Add '0.9384765625' to each side of the equation. -1.9375t + 0.9384765625 + t2 = 0.03125 + 0.9384765625 Reorder the terms: 0.9384765625 + -1.9375t + t2 = 0.03125 + 0.9384765625 Combine like terms: 0.03125 + 0.9384765625 = 0.9697265625 0.9384765625 + -1.9375t + t2 = 0.9697265625 Factor a perfect square on the left side: (t + -0.96875)(t + -0.96875) = 0.9697265625 Calculate the square root of the right side: 0.984746954 Break this problem into two subproblems by setting (t + -0.96875) equal to 0.984746954 and -0.984746954.Subproblem 1
t + -0.96875 = 0.984746954 Simplifying t + -0.96875 = 0.984746954 Reorder the terms: -0.96875 + t = 0.984746954 Solving -0.96875 + t = 0.984746954 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.96875' to each side of the equation. -0.96875 + 0.96875 + t = 0.984746954 + 0.96875 Combine like terms: -0.96875 + 0.96875 = 0.00000 0.00000 + t = 0.984746954 + 0.96875 t = 0.984746954 + 0.96875 Combine like terms: 0.984746954 + 0.96875 = 1.953496954 t = 1.953496954 Simplifying t = 1.953496954Subproblem 2
t + -0.96875 = -0.984746954 Simplifying t + -0.96875 = -0.984746954 Reorder the terms: -0.96875 + t = -0.984746954 Solving -0.96875 + t = -0.984746954 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.96875' to each side of the equation. -0.96875 + 0.96875 + t = -0.984746954 + 0.96875 Combine like terms: -0.96875 + 0.96875 = 0.00000 0.00000 + t = -0.984746954 + 0.96875 t = -0.984746954 + 0.96875 Combine like terms: -0.984746954 + 0.96875 = -0.015996954 t = -0.015996954 Simplifying t = -0.015996954Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.953496954, -0.015996954}
| 4(3+x)-4x=7-2 | | 4x+6+3=17-4 | | x+(x*4)=360 | | 200m^4+80m^3+8m= | | 5x+7x=22 | | 4x^2yz^3(3x^3-2yz+5xz^4)= | | -2.6m+9.4+1.8m=-0.5-0.8m+9.9 | | m/6+8=12 | | 6(m-5)=24 | | 7-3x=8+2x | | 6x+y=-13 | | 2(2w+w)=30 | | 5x+12=8-x | | 3x+3(4x-6)=132 | | 3x+4x-3=53 | | 20x^7-36x^3=x^2 | | P(4-13-1)=-150 | | -2n+7=5n+25 | | v=pir^2 | | 11x+4y=10 | | 6y-10=-2(5-3y) | | g(x)=x^4+3x-21 | | 3+N=4xN | | 7.4-9.2=-2.6+5.3 | | X=7y-6+2y | | 2n-8n-3=0 | | 6x+5(3x+12)=186 | | -3y+8x=36 | | 2w+4=w+6 | | (4x-3)+8=92 | | 17y=6xy+9 | | 5a+19=29 |