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 + 120t + 10 Reorder the terms: t = 10 + 120t + -16t2 Solving t = 10 + 120t + -16t2 Solving for variable 't'. Reorder the terms: -10 + t + -120t + 16t2 = 10 + 120t + -16t2 + -10 + -120t + 16t2 Combine like terms: t + -120t = -119t -10 + -119t + 16t2 = 10 + 120t + -16t2 + -10 + -120t + 16t2 Reorder the terms: -10 + -119t + 16t2 = 10 + -10 + 120t + -120t + -16t2 + 16t2 Combine like terms: 10 + -10 = 0 -10 + -119t + 16t2 = 0 + 120t + -120t + -16t2 + 16t2 -10 + -119t + 16t2 = 120t + -120t + -16t2 + 16t2 Combine like terms: 120t + -120t = 0 -10 + -119t + 16t2 = 0 + -16t2 + 16t2 -10 + -119t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -10 + -119t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.625 + -7.4375t + t2 = 0 Move the constant term to the right: Add '0.625' to each side of the equation. -0.625 + -7.4375t + 0.625 + t2 = 0 + 0.625 Reorder the terms: -0.625 + 0.625 + -7.4375t + t2 = 0 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + -7.4375t + t2 = 0 + 0.625 -7.4375t + t2 = 0 + 0.625 Combine like terms: 0 + 0.625 = 0.625 -7.4375t + t2 = 0.625 The t term is -7.4375t. Take half its coefficient (-3.71875). Square it (13.82910156) and add it to both sides. Add '13.82910156' to each side of the equation. -7.4375t + 13.82910156 + t2 = 0.625 + 13.82910156 Reorder the terms: 13.82910156 + -7.4375t + t2 = 0.625 + 13.82910156 Combine like terms: 0.625 + 13.82910156 = 14.45410156 13.82910156 + -7.4375t + t2 = 14.45410156 Factor a perfect square on the left side: (t + -3.71875)(t + -3.71875) = 14.45410156 Calculate the square root of the right side: 3.801855016 Break this problem into two subproblems by setting (t + -3.71875) equal to 3.801855016 and -3.801855016.Subproblem 1
t + -3.71875 = 3.801855016 Simplifying t + -3.71875 = 3.801855016 Reorder the terms: -3.71875 + t = 3.801855016 Solving -3.71875 + t = 3.801855016 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.71875' to each side of the equation. -3.71875 + 3.71875 + t = 3.801855016 + 3.71875 Combine like terms: -3.71875 + 3.71875 = 0.00000 0.00000 + t = 3.801855016 + 3.71875 t = 3.801855016 + 3.71875 Combine like terms: 3.801855016 + 3.71875 = 7.520605016 t = 7.520605016 Simplifying t = 7.520605016Subproblem 2
t + -3.71875 = -3.801855016 Simplifying t + -3.71875 = -3.801855016 Reorder the terms: -3.71875 + t = -3.801855016 Solving -3.71875 + t = -3.801855016 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.71875' to each side of the equation. -3.71875 + 3.71875 + t = -3.801855016 + 3.71875 Combine like terms: -3.71875 + 3.71875 = 0.00000 0.00000 + t = -3.801855016 + 3.71875 t = -3.801855016 + 3.71875 Combine like terms: -3.801855016 + 3.71875 = -0.083105016 t = -0.083105016 Simplifying t = -0.083105016Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.520605016, -0.083105016}
| 0.33333333333=0.3 | | (16x^(1/6))^(3/2) | | X=4,8-x | | 4n-40=(-2+2) | | Y=-4*-1 | | 2b=19 | | .02x+.03(18000-x)=370 | | x^2-6x=0.5x-42 | | 27+2y-7=11y-10-4y | | h(z)=8z | | U=12n+120+5n+5 | | j-8=35 | | 4-n^2=20 | | 7x+1+2x=82 | | -12x-20=-11+50 | | -7/15-(-1/5)= | | -12-20=-11x+50 | | 6x-3+(-3x-4)= | | 180=x^2-6x+.5x+42 | | -[5x+(7x+9)]=5-(4x+1) | | 10x+8y=14700 | | 3y-10=2x | | T-9=24-10t | | 9x-1.5=2 | | X-2/7=1/9 | | 0.08-0.006= | | 18+5n+3n=54 | | 4x+x-7=1 | | 8p+9q-5(8p-3q+4r)= | | x+0.3x=8 | | -6-5+4x=-1 | | 3y+2x-3=6 |