If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 100 = 204t + -16t2 Solving 100 = 204t + -16t2 Solving for variable 't'. Reorder the terms: 100 + -204t + 16t2 = 204t + -204t + -16t2 + 16t2 Combine like terms: 204t + -204t = 0 100 + -204t + 16t2 = 0 + -16t2 + 16t2 100 + -204t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 100 + -204t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(25 + -51t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(25 + -51t + 4t2)' equal to zero and attempt to solve: Simplifying 25 + -51t + 4t2 = 0 Solving 25 + -51t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.25 + -12.75t + t2 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + -12.75t + -6.25 + t2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + -12.75t + t2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + -12.75t + t2 = 0 + -6.25 -12.75t + t2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 -12.75t + t2 = -6.25 The t term is -12.75t. Take half its coefficient (-6.375). Square it (40.640625) and add it to both sides. Add '40.640625' to each side of the equation. -12.75t + 40.640625 + t2 = -6.25 + 40.640625 Reorder the terms: 40.640625 + -12.75t + t2 = -6.25 + 40.640625 Combine like terms: -6.25 + 40.640625 = 34.390625 40.640625 + -12.75t + t2 = 34.390625 Factor a perfect square on the left side: (t + -6.375)(t + -6.375) = 34.390625 Calculate the square root of the right side: 5.864352053 Break this problem into two subproblems by setting (t + -6.375) equal to 5.864352053 and -5.864352053.Subproblem 1
t + -6.375 = 5.864352053 Simplifying t + -6.375 = 5.864352053 Reorder the terms: -6.375 + t = 5.864352053 Solving -6.375 + t = 5.864352053 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.375' to each side of the equation. -6.375 + 6.375 + t = 5.864352053 + 6.375 Combine like terms: -6.375 + 6.375 = 0.000 0.000 + t = 5.864352053 + 6.375 t = 5.864352053 + 6.375 Combine like terms: 5.864352053 + 6.375 = 12.239352053 t = 12.239352053 Simplifying t = 12.239352053Subproblem 2
t + -6.375 = -5.864352053 Simplifying t + -6.375 = -5.864352053 Reorder the terms: -6.375 + t = -5.864352053 Solving -6.375 + t = -5.864352053 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.375' to each side of the equation. -6.375 + 6.375 + t = -5.864352053 + 6.375 Combine like terms: -6.375 + 6.375 = 0.000 0.000 + t = -5.864352053 + 6.375 t = -5.864352053 + 6.375 Combine like terms: -5.864352053 + 6.375 = 0.510647947 t = 0.510647947 Simplifying t = 0.510647947Solution
The solution to the problem is based on the solutions from the subproblems. t = {12.239352053, 0.510647947}Solution
t = {12.239352053, 0.510647947}
| 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 | | -7(0.1x+0.50)-0.9=0.2 | | w/8-1.1=13.9 | | f(x)=sin(x)ln(8x) | | 4.5/13.5=x/17.4 | | 4/12m=-10/12 | | 2w^2-5-33= | | 3x-(9x+8)=13-6x | | 18x+2y=14 |