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 + 64t + 960 Reorder the terms: t = 960 + 64t + -16t2 Solving t = 960 + 64t + -16t2 Solving for variable 't'. Reorder the terms: -960 + t + -64t + 16t2 = 960 + 64t + -16t2 + -960 + -64t + 16t2 Combine like terms: t + -64t = -63t -960 + -63t + 16t2 = 960 + 64t + -16t2 + -960 + -64t + 16t2 Reorder the terms: -960 + -63t + 16t2 = 960 + -960 + 64t + -64t + -16t2 + 16t2 Combine like terms: 960 + -960 = 0 -960 + -63t + 16t2 = 0 + 64t + -64t + -16t2 + 16t2 -960 + -63t + 16t2 = 64t + -64t + -16t2 + 16t2 Combine like terms: 64t + -64t = 0 -960 + -63t + 16t2 = 0 + -16t2 + 16t2 -960 + -63t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -960 + -63t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -60 + -3.9375t + t2 = 0 Move the constant term to the right: Add '60' to each side of the equation. -60 + -3.9375t + 60 + t2 = 0 + 60 Reorder the terms: -60 + 60 + -3.9375t + t2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -3.9375t + t2 = 0 + 60 -3.9375t + t2 = 0 + 60 Combine like terms: 0 + 60 = 60 -3.9375t + t2 = 60 The t term is -3.9375t. Take half its coefficient (-1.96875). Square it (3.875976563) and add it to both sides. Add '3.875976563' to each side of the equation. -3.9375t + 3.875976563 + t2 = 60 + 3.875976563 Reorder the terms: 3.875976563 + -3.9375t + t2 = 60 + 3.875976563 Combine like terms: 60 + 3.875976563 = 63.875976563 3.875976563 + -3.9375t + t2 = 63.875976563 Factor a perfect square on the left side: (t + -1.96875)(t + -1.96875) = 63.875976563 Calculate the square root of the right side: 7.992244776 Break this problem into two subproblems by setting (t + -1.96875) equal to 7.992244776 and -7.992244776.Subproblem 1
t + -1.96875 = 7.992244776 Simplifying t + -1.96875 = 7.992244776 Reorder the terms: -1.96875 + t = 7.992244776 Solving -1.96875 + t = 7.992244776 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.96875' to each side of the equation. -1.96875 + 1.96875 + t = 7.992244776 + 1.96875 Combine like terms: -1.96875 + 1.96875 = 0.00000 0.00000 + t = 7.992244776 + 1.96875 t = 7.992244776 + 1.96875 Combine like terms: 7.992244776 + 1.96875 = 9.960994776 t = 9.960994776 Simplifying t = 9.960994776Subproblem 2
t + -1.96875 = -7.992244776 Simplifying t + -1.96875 = -7.992244776 Reorder the terms: -1.96875 + t = -7.992244776 Solving -1.96875 + t = -7.992244776 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.96875' to each side of the equation. -1.96875 + 1.96875 + t = -7.992244776 + 1.96875 Combine like terms: -1.96875 + 1.96875 = 0.00000 0.00000 + t = -7.992244776 + 1.96875 t = -7.992244776 + 1.96875 Combine like terms: -7.992244776 + 1.96875 = -6.023494776 t = -6.023494776 Simplifying t = -6.023494776Solution
The solution to the problem is based on the solutions from the subproblems. t = {9.960994776, -6.023494776}
| -14m^2+3m+5= | | -12m^2+3m+5= | | -5x-1=3x | | 3x+5=20(2x-2) | | 3z(7z+9)=0 | | 12p^2-23pq+10q^2= | | 31x+20+12x^2= | | 2x+20=3(20x-120) | | k^2-12k+36= | | 4k^2-20k+25= | | 6s^2+7s-3= | | 18/226 | | 5x^10=231 | | 2k^2-3k-2= | | 3(3-2n)=9-6 | | 8h^2-2h-3= | | 4.5-3.8= | | 8p^2-2p-3= | | 3x+12=5(12x-3) | | 10-t/4=1 | | 25m^2+30m+9= | | 2-6=-14 | | 3(3-2n)=9-6n | | 4n+5n=18 | | 8-c/3=5 | | -2n+7(1+5n)=7-10n | | 2y-24+y^2= | | 6x+5y=350 | | -20-7n=-6n-6n | | -9x+18+x^2= | | 6p^4+7p^2-10= | | 5(-3k+10)=200 |