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 + -40t + 9 Reorder the terms: 0 = 9 + -40t + -16t2 Solving 0 = 9 + -40t + -16t2 Solving for variable 't'. Combine like terms: 0 + -9 = -9 -9 + 40t + 16t2 = 9 + -40t + -16t2 + -9 + 40t + 16t2 Reorder the terms: -9 + 40t + 16t2 = 9 + -9 + -40t + 40t + -16t2 + 16t2 Combine like terms: 9 + -9 = 0 -9 + 40t + 16t2 = 0 + -40t + 40t + -16t2 + 16t2 -9 + 40t + 16t2 = -40t + 40t + -16t2 + 16t2 Combine like terms: -40t + 40t = 0 -9 + 40t + 16t2 = 0 + -16t2 + 16t2 -9 + 40t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -9 + 40t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.5625 + 2.5t + t2 = 0 Move the constant term to the right: Add '0.5625' to each side of the equation. -0.5625 + 2.5t + 0.5625 + t2 = 0 + 0.5625 Reorder the terms: -0.5625 + 0.5625 + 2.5t + t2 = 0 + 0.5625 Combine like terms: -0.5625 + 0.5625 = 0.0000 0.0000 + 2.5t + t2 = 0 + 0.5625 2.5t + t2 = 0 + 0.5625 Combine like terms: 0 + 0.5625 = 0.5625 2.5t + t2 = 0.5625 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 = 0.5625 + 1.5625 Reorder the terms: 1.5625 + 2.5t + t2 = 0.5625 + 1.5625 Combine like terms: 0.5625 + 1.5625 = 2.125 1.5625 + 2.5t + t2 = 2.125 Factor a perfect square on the left side: (t + 1.25)(t + 1.25) = 2.125 Calculate the square root of the right side: 1.457737974 Break this problem into two subproblems by setting (t + 1.25) equal to 1.457737974 and -1.457737974.Subproblem 1
t + 1.25 = 1.457737974 Simplifying t + 1.25 = 1.457737974 Reorder the terms: 1.25 + t = 1.457737974 Solving 1.25 + t = 1.457737974 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 = 1.457737974 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + t = 1.457737974 + -1.25 t = 1.457737974 + -1.25 Combine like terms: 1.457737974 + -1.25 = 0.207737974 t = 0.207737974 Simplifying t = 0.207737974Subproblem 2
t + 1.25 = -1.457737974 Simplifying t + 1.25 = -1.457737974 Reorder the terms: 1.25 + t = -1.457737974 Solving 1.25 + t = -1.457737974 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 = -1.457737974 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + t = -1.457737974 + -1.25 t = -1.457737974 + -1.25 Combine like terms: -1.457737974 + -1.25 = -2.707737974 t = -2.707737974 Simplifying t = -2.707737974Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.207737974, -2.707737974}
| 13x+4=7x-8 | | x+2y=4.5 | | 12.4=3w+8+-0.5w | | 8-4k=80 | | 14-2z=0 | | 3w+6=-12 | | 2272.732=2*3.14*121+2*3.14*11*h | | 11x+4-9x=14 | | 12-y+9y=20 | | -(2a-5)-2(a+2)=3a+5 | | 3w+8+4w=-41 | | -2x=4-8y | | -28+7y=4(3y+2) | | 12.4=w+8-0.5w | | y=0.33x | | 3(x-9)=42 | | 100-4x=200 | | 7-2y=26 | | 4/2/5+k=-3/2/11 | | N-15=(-35) | | 3x+4x=-56 | | Y=-3+1x | | (4x+23)+(2x+1)=180 | | 2(x-2)=40 | | (Y-11)-3y=1 | | w+3/3/8/=1/5/6/ | | 3(5x-2)=2(6x+5) | | P=-3Q+30 | | -2/1/4/=r-4/5 | | x^4-37x^2y^2+36y^4=0 | | 24+9m=150 | | -34=-2(7s+4) |