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 + 193t + 6.1 Reorder the terms: 0 = 6.1 + 193t + -16t2 Solving 0 = 6.1 + 193t + -16t2 Solving for variable 't'. Combine like terms: 0 + -6.1 = -6.1 -6.1 + -193t + 16t2 = 6.1 + 193t + -16t2 + -6.1 + -193t + 16t2 Reorder the terms: -6.1 + -193t + 16t2 = 6.1 + -6.1 + 193t + -193t + -16t2 + 16t2 Combine like terms: 6.1 + -6.1 = 0.0 -6.1 + -193t + 16t2 = 0.0 + 193t + -193t + -16t2 + 16t2 -6.1 + -193t + 16t2 = 193t + -193t + -16t2 + 16t2 Combine like terms: 193t + -193t = 0 -6.1 + -193t + 16t2 = 0 + -16t2 + 16t2 -6.1 + -193t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -6.1 + -193t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.38125 + -12.0625t + t2 = 0 Move the constant term to the right: Add '0.38125' to each side of the equation. -0.38125 + -12.0625t + 0.38125 + t2 = 0 + 0.38125 Reorder the terms: -0.38125 + 0.38125 + -12.0625t + t2 = 0 + 0.38125 Combine like terms: -0.38125 + 0.38125 = 0.00000 0.00000 + -12.0625t + t2 = 0 + 0.38125 -12.0625t + t2 = 0 + 0.38125 Combine like terms: 0 + 0.38125 = 0.38125 -12.0625t + t2 = 0.38125 The t term is -12.0625t. Take half its coefficient (-6.03125). Square it (36.37597656) and add it to both sides. Add '36.37597656' to each side of the equation. -12.0625t + 36.37597656 + t2 = 0.38125 + 36.37597656 Reorder the terms: 36.37597656 + -12.0625t + t2 = 0.38125 + 36.37597656 Combine like terms: 0.38125 + 36.37597656 = 36.75722656 36.37597656 + -12.0625t + t2 = 36.75722656 Factor a perfect square on the left side: (t + -6.03125)(t + -6.03125) = 36.75722656 Calculate the square root of the right side: 6.062773834 Break this problem into two subproblems by setting (t + -6.03125) equal to 6.062773834 and -6.062773834.Subproblem 1
t + -6.03125 = 6.062773834 Simplifying t + -6.03125 = 6.062773834 Reorder the terms: -6.03125 + t = 6.062773834 Solving -6.03125 + t = 6.062773834 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.03125' to each side of the equation. -6.03125 + 6.03125 + t = 6.062773834 + 6.03125 Combine like terms: -6.03125 + 6.03125 = 0.00000 0.00000 + t = 6.062773834 + 6.03125 t = 6.062773834 + 6.03125 Combine like terms: 6.062773834 + 6.03125 = 12.094023834 t = 12.094023834 Simplifying t = 12.094023834Subproblem 2
t + -6.03125 = -6.062773834 Simplifying t + -6.03125 = -6.062773834 Reorder the terms: -6.03125 + t = -6.062773834 Solving -6.03125 + t = -6.062773834 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.03125' to each side of the equation. -6.03125 + 6.03125 + t = -6.062773834 + 6.03125 Combine like terms: -6.03125 + 6.03125 = 0.00000 0.00000 + t = -6.062773834 + 6.03125 t = -6.062773834 + 6.03125 Combine like terms: -6.062773834 + 6.03125 = -0.031523834 t = -0.031523834 Simplifying t = -0.031523834Solution
The solution to the problem is based on the solutions from the subproblems. t = {12.094023834, -0.031523834}
| 30(x+30)=100 | | 30(x+30)=30 | | 2(3x+4)-5(x+6)=-3(-x+4) | | 9.6=(-4.4)+2m | | 4(x-5)=9+3x | | 6=v-2-16 | | 4=4x-28 | | x/5-2x-5/3=3/4 | | x+10y=240 | | 6x+30=5x-9 | | H^2+13h+40=0 | | 2.25-7.75(5-2x)=26 | | -a=2011-1205 | | 3/4x=1/2=-2/3x=9 | | 4(x)-x=y | | 6x+3y=756 | | 2f-11=13-6f | | log*7(9x)+3log*7(6)=3 | | 2r+6= | | 2(x)+3(x)=y | | 2xy-5x=3y | | 21a^5/7a^4 | | (21a^5/7a^4) | | 24x^2-49x+2=0 | | 2x/100=X/400 | | 2x+4-5=45 | | log^7(9x)+3log^7(6)=3 | | x-1/5x-5 | | 3/20=2/p | | =W+(4M)+6 | | in9x^1/2-in4x^3/2 | | -5x-7-3x=-2-4x+5 |