If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8 = -16t2 + 40t + 5 Reorder the terms: 8 = 5 + 40t + -16t2 Solving 8 = 5 + 40t + -16t2 Solving for variable 't'. Combine like terms: 8 + -5 = 3 3 + -40t + 16t2 = 5 + 40t + -16t2 + -5 + -40t + 16t2 Reorder the terms: 3 + -40t + 16t2 = 5 + -5 + 40t + -40t + -16t2 + 16t2 Combine like terms: 5 + -5 = 0 3 + -40t + 16t2 = 0 + 40t + -40t + -16t2 + 16t2 3 + -40t + 16t2 = 40t + -40t + -16t2 + 16t2 Combine like terms: 40t + -40t = 0 3 + -40t + 16t2 = 0 + -16t2 + 16t2 3 + -40t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 3 + -40t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.1875 + -2.5t + t2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + -2.5t + -0.1875 + t2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + -2.5t + t2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + -2.5t + t2 = 0 + -0.1875 -2.5t + t2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 -2.5t + t2 = -0.1875 The t term is -2.5t. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5t + 1.5625 + t2 = -0.1875 + 1.5625 Reorder the terms: 1.5625 + -2.5t + t2 = -0.1875 + 1.5625 Combine like terms: -0.1875 + 1.5625 = 1.375 1.5625 + -2.5t + t2 = 1.375 Factor a perfect square on the left side: (t + -1.25)(t + -1.25) = 1.375 Calculate the square root of the right side: 1.17260394 Break this problem into two subproblems by setting (t + -1.25) equal to 1.17260394 and -1.17260394.Subproblem 1
t + -1.25 = 1.17260394 Simplifying t + -1.25 = 1.17260394 Reorder the terms: -1.25 + t = 1.17260394 Solving -1.25 + t = 1.17260394 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + t = 1.17260394 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + t = 1.17260394 + 1.25 t = 1.17260394 + 1.25 Combine like terms: 1.17260394 + 1.25 = 2.42260394 t = 2.42260394 Simplifying t = 2.42260394Subproblem 2
t + -1.25 = -1.17260394 Simplifying t + -1.25 = -1.17260394 Reorder the terms: -1.25 + t = -1.17260394 Solving -1.25 + t = -1.17260394 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + t = -1.17260394 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + t = -1.17260394 + 1.25 t = -1.17260394 + 1.25 Combine like terms: -1.17260394 + 1.25 = 0.07739606 t = 0.07739606 Simplifying t = 0.07739606Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.42260394, 0.07739606}
| -2y=45+7t | | 8n=0.328 | | 3x+300=4800+2x | | 3(2c-4)=10c-9 | | 14/n | | 5(7x-4)=55 | | 50t^2+100t-50=0 | | x^4+8x-48=0 | | ln(2x-1)+ln(x-1)=0 | | 7x-x=300 | | 6(8x+7)=90 | | 18-2g=5y | | 79=11x-9 | | 22x-8+3y=10 | | 3(7x-9)=6 | | X/9=-24 | | 10+9x(-6)-(-1*8)= | | 95+2x-4=180 | | -5.2+9.6=6y-1.6-5y | | 4K=36-5k | | Z-158=295 | | -4/3(x)=-12 | | 11p-9=101 | | 992=n+862 | | 5x+3x+10=8x-3 | | 992=n+832 | | A=1/4lw | | 3w-2w-4=-9+w | | x^2-9x+21= | | 9.1a+2.3=5.1a-3.1 | | Y+3=-6+4y | | 37=5x+-2 |