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 + 184t + 20 Reorder the terms: 0 = 20 + 184t + -16t2 Solving 0 = 20 + 184t + -16t2 Solving for variable 't'. Combine like terms: 0 + -20 = -20 -20 + -184t + 16t2 = 20 + 184t + -16t2 + -20 + -184t + 16t2 Reorder the terms: -20 + -184t + 16t2 = 20 + -20 + 184t + -184t + -16t2 + 16t2 Combine like terms: 20 + -20 = 0 -20 + -184t + 16t2 = 0 + 184t + -184t + -16t2 + 16t2 -20 + -184t + 16t2 = 184t + -184t + -16t2 + 16t2 Combine like terms: 184t + -184t = 0 -20 + -184t + 16t2 = 0 + -16t2 + 16t2 -20 + -184t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -20 + -184t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + -46t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -46t + 4t2)' equal to zero and attempt to solve: Simplifying -5 + -46t + 4t2 = 0 Solving -5 + -46t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.25 + -11.5t + t2 = 0 Move the constant term to the right: Add '1.25' to each side of the equation. -1.25 + -11.5t + 1.25 + t2 = 0 + 1.25 Reorder the terms: -1.25 + 1.25 + -11.5t + t2 = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + -11.5t + t2 = 0 + 1.25 -11.5t + t2 = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 -11.5t + t2 = 1.25 The t term is -11.5t. Take half its coefficient (-5.75). Square it (33.0625) and add it to both sides. Add '33.0625' to each side of the equation. -11.5t + 33.0625 + t2 = 1.25 + 33.0625 Reorder the terms: 33.0625 + -11.5t + t2 = 1.25 + 33.0625 Combine like terms: 1.25 + 33.0625 = 34.3125 33.0625 + -11.5t + t2 = 34.3125 Factor a perfect square on the left side: (t + -5.75)(t + -5.75) = 34.3125 Calculate the square root of the right side: 5.857687257 Break this problem into two subproblems by setting (t + -5.75) equal to 5.857687257 and -5.857687257.Subproblem 1
t + -5.75 = 5.857687257 Simplifying t + -5.75 = 5.857687257 Reorder the terms: -5.75 + t = 5.857687257 Solving -5.75 + t = 5.857687257 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.75' to each side of the equation. -5.75 + 5.75 + t = 5.857687257 + 5.75 Combine like terms: -5.75 + 5.75 = 0.00 0.00 + t = 5.857687257 + 5.75 t = 5.857687257 + 5.75 Combine like terms: 5.857687257 + 5.75 = 11.607687257 t = 11.607687257 Simplifying t = 11.607687257Subproblem 2
t + -5.75 = -5.857687257 Simplifying t + -5.75 = -5.857687257 Reorder the terms: -5.75 + t = -5.857687257 Solving -5.75 + t = -5.857687257 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.75' to each side of the equation. -5.75 + 5.75 + t = -5.857687257 + 5.75 Combine like terms: -5.75 + 5.75 = 0.00 0.00 + t = -5.857687257 + 5.75 t = -5.857687257 + 5.75 Combine like terms: -5.857687257 + 5.75 = -0.107687257 t = -0.107687257 Simplifying t = -0.107687257Solution
The solution to the problem is based on the solutions from the subproblems. t = {11.607687257, -0.107687257}Solution
t = {11.607687257, -0.107687257}
| 6.6x-3+x-1.7=0 | | 5x+15=4x+12 | | -2p-4=10 | | 2b+(-9)=-17 | | 2a-24=3b | | 3n-19=16 | | 4(x-9)=8(x+1) | | 7+2.50x=49.50 | | 8x+8+1= | | 35/5=81/x | | 0=-16t^2+32t+6 | | 6x+1=4x+2 | | (p^5/6x)^5 | | 2(7+n)=-10 | | 7x^2+100x-24=0 | | x+7-x=-5 | | x+20=2x+80 | | 45+90x=855 | | 5x+252=14x-9 | | 30-6x=12-8x | | 6t^2=-t+2 | | 7X+3Y+36=0 | | 12m+8-5m+2+m=6(m-1) | | -4x^2+50x-150=0 | | 7x+(7x+1)+(8x+3)=180 | | 0.4x-9.5(x-1)=55 | | 6a+10a^2=0 | | 2(a-7)-3a=-17-(a-3) | | 6x^2+50x+100=0 | | 12s+9t=57 | | 4x+(12)=8 | | 3a-10=25 |