If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 67 + -5t + -5t2 Solving 0 = 67 + -5t + -5t2 Solving for variable 't'. Combine like terms: 0 + -67 = -67 -67 + 5t + 5t2 = 67 + -5t + -5t2 + -67 + 5t + 5t2 Reorder the terms: -67 + 5t + 5t2 = 67 + -67 + -5t + 5t + -5t2 + 5t2 Combine like terms: 67 + -67 = 0 -67 + 5t + 5t2 = 0 + -5t + 5t + -5t2 + 5t2 -67 + 5t + 5t2 = -5t + 5t + -5t2 + 5t2 Combine like terms: -5t + 5t = 0 -67 + 5t + 5t2 = 0 + -5t2 + 5t2 -67 + 5t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -67 + 5t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -13.4 + t + t2 = 0 Move the constant term to the right: Add '13.4' to each side of the equation. -13.4 + t + 13.4 + t2 = 0 + 13.4 Reorder the terms: -13.4 + 13.4 + t + t2 = 0 + 13.4 Combine like terms: -13.4 + 13.4 = 0.0 0.0 + t + t2 = 0 + 13.4 t + t2 = 0 + 13.4 Combine like terms: 0 + 13.4 = 13.4 t + t2 = 13.4 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + t2 = 13.4 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = 13.4 + 0.25 Combine like terms: 13.4 + 0.25 = 13.65 1.25 + t2 = 13.65 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = 13.65 Calculate the square root of the right side: 3.69459064 Break this problem into two subproblems by setting (t + 0.5) equal to 3.69459064 and -3.69459064.Subproblem 1
t + 0.5 = 3.69459064 Simplifying t + 0.5 = 3.69459064 Reorder the terms: 0.5 + t = 3.69459064 Solving 0.5 + t = 3.69459064 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = 3.69459064 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 3.69459064 + -0.5 t = 3.69459064 + -0.5 Combine like terms: 3.69459064 + -0.5 = 3.19459064 t = 3.19459064 Simplifying t = 3.19459064Subproblem 2
t + 0.5 = -3.69459064 Simplifying t + 0.5 = -3.69459064 Reorder the terms: 0.5 + t = -3.69459064 Solving 0.5 + t = -3.69459064 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = -3.69459064 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -3.69459064 + -0.5 t = -3.69459064 + -0.5 Combine like terms: -3.69459064 + -0.5 = -4.19459064 t = -4.19459064 Simplifying t = -4.19459064Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.19459064, -4.19459064}
| 4u+6=-6 | | 8.2x-9.6=-14.6+7.2x | | 21=7+38t-16t^2 | | 58=5w-12 | | 137+97+4+(2y-3)=360 | | 9=3+15t-5t^2 | | 6+2d=-3d-4 | | 100=204t-16t^2 | | 0=49-2t-5t^2 | | 16n-16n= | | -30=q/-5 | | -2x+32=10 | | -2x+32=1 | | 2x+1=189 | | 50x+400=3000 | | f(x)=ln(sin(2x)) | | 6x+15=207 | | ((x-7)*3-5)/4=7 | | (x-7)*3-5/4=7 | | 2v+7-5=-17 | | 6x+5=207 | | t*ln(t/3) | | 5(x-4)+(2x-7)=0 | | 2f+3f=4g | | 6x+30=582 | | 3j+2j+k=5h | | 68+x=90 | | ac+by=d | | 7(x+2)=7x | | (-3u^2+u-6)+(7u^2+5u+2)= | | x-8(2)=-3 | | 1/4z=-3/4 |