If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 200 = -16t2 + 500t + 5 Reorder the terms: 200 = 5 + 500t + -16t2 Solving 200 = 5 + 500t + -16t2 Solving for variable 't'. Combine like terms: 200 + -5 = 195 195 + -500t + 16t2 = 5 + 500t + -16t2 + -5 + -500t + 16t2 Reorder the terms: 195 + -500t + 16t2 = 5 + -5 + 500t + -500t + -16t2 + 16t2 Combine like terms: 5 + -5 = 0 195 + -500t + 16t2 = 0 + 500t + -500t + -16t2 + 16t2 195 + -500t + 16t2 = 500t + -500t + -16t2 + 16t2 Combine like terms: 500t + -500t = 0 195 + -500t + 16t2 = 0 + -16t2 + 16t2 195 + -500t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 195 + -500t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 12.1875 + -31.25t + t2 = 0 Move the constant term to the right: Add '-12.1875' to each side of the equation. 12.1875 + -31.25t + -12.1875 + t2 = 0 + -12.1875 Reorder the terms: 12.1875 + -12.1875 + -31.25t + t2 = 0 + -12.1875 Combine like terms: 12.1875 + -12.1875 = 0.0000 0.0000 + -31.25t + t2 = 0 + -12.1875 -31.25t + t2 = 0 + -12.1875 Combine like terms: 0 + -12.1875 = -12.1875 -31.25t + t2 = -12.1875 The t term is -31.25t. Take half its coefficient (-15.625). Square it (244.140625) and add it to both sides. Add '244.140625' to each side of the equation. -31.25t + 244.140625 + t2 = -12.1875 + 244.140625 Reorder the terms: 244.140625 + -31.25t + t2 = -12.1875 + 244.140625 Combine like terms: -12.1875 + 244.140625 = 231.953125 244.140625 + -31.25t + t2 = 231.953125 Factor a perfect square on the left side: (t + -15.625)(t + -15.625) = 231.953125 Calculate the square root of the right side: 15.230007387 Break this problem into two subproblems by setting (t + -15.625) equal to 15.230007387 and -15.230007387.Subproblem 1
t + -15.625 = 15.230007387 Simplifying t + -15.625 = 15.230007387 Reorder the terms: -15.625 + t = 15.230007387 Solving -15.625 + t = 15.230007387 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15.625' to each side of the equation. -15.625 + 15.625 + t = 15.230007387 + 15.625 Combine like terms: -15.625 + 15.625 = 0.000 0.000 + t = 15.230007387 + 15.625 t = 15.230007387 + 15.625 Combine like terms: 15.230007387 + 15.625 = 30.855007387 t = 30.855007387 Simplifying t = 30.855007387Subproblem 2
t + -15.625 = -15.230007387 Simplifying t + -15.625 = -15.230007387 Reorder the terms: -15.625 + t = -15.230007387 Solving -15.625 + t = -15.230007387 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15.625' to each side of the equation. -15.625 + 15.625 + t = -15.230007387 + 15.625 Combine like terms: -15.625 + 15.625 = 0.000 0.000 + t = -15.230007387 + 15.625 t = -15.230007387 + 15.625 Combine like terms: -15.230007387 + 15.625 = 0.394992613 t = 0.394992613 Simplifying t = 0.394992613Solution
The solution to the problem is based on the solutions from the subproblems. t = {30.855007387, 0.394992613}
| 15a-6a^2=0 | | 6t+3=28 | | c^2+8c+12= | | 3x+6-2x=11 | | -5(x)=-40 | | 3a^7-75a= | | n/8=4 | | y-9.5=6 | | 0.25x+.05(14-x)=.10(-17) | | -12+4=m-1 | | 7w=3w+24 | | 10=2 | | 3.9x+3-9.9x=9 | | -5n-2(-2-2n)=-9 | | -7(6-3m+n)= | | 2x-4(x-4)=-8+2x+12 | | 5x-20.4=x | | 3.9x-2+x-11= | | 0.6x+0.4=-1.4 | | 10x-20=4x+40 | | s/4+8=12 | | 3(x-1.6)=3.6 | | 3x+5=2(x+7) | | 3(5x)-8=13 | | 2h^9-50h= | | 8x+5.57=5x+11 | | 2x+12=3y-15 | | 4w+8t=w | | 4.9y+7.99=-34.64 | | 3(m+4)= | | 7d+4d+6d-8-5d=0 | | 3(3y-2)-4(y-5)= |