If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -2t2 + 20t + 100 = 0 Reorder the terms: 100 + 20t + -2t2 = 0 Solving 100 + 20t + -2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(50 + 10t + -1t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(50 + 10t + -1t2)' equal to zero and attempt to solve: Simplifying 50 + 10t + -1t2 = 0 Solving 50 + 10t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -50 + -10t + t2 = 0 Move the constant term to the right: Add '50' to each side of the equation. -50 + -10t + 50 + t2 = 0 + 50 Reorder the terms: -50 + 50 + -10t + t2 = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -10t + t2 = 0 + 50 -10t + t2 = 0 + 50 Combine like terms: 0 + 50 = 50 -10t + t2 = 50 The t term is -10t. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10t + 25 + t2 = 50 + 25 Reorder the terms: 25 + -10t + t2 = 50 + 25 Combine like terms: 50 + 25 = 75 25 + -10t + t2 = 75 Factor a perfect square on the left side: (t + -5)(t + -5) = 75 Calculate the square root of the right side: 8.660254038 Break this problem into two subproblems by setting (t + -5) equal to 8.660254038 and -8.660254038.Subproblem 1
t + -5 = 8.660254038 Simplifying t + -5 = 8.660254038 Reorder the terms: -5 + t = 8.660254038 Solving -5 + t = 8.660254038 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + t = 8.660254038 + 5 Combine like terms: -5 + 5 = 0 0 + t = 8.660254038 + 5 t = 8.660254038 + 5 Combine like terms: 8.660254038 + 5 = 13.660254038 t = 13.660254038 Simplifying t = 13.660254038Subproblem 2
t + -5 = -8.660254038 Simplifying t + -5 = -8.660254038 Reorder the terms: -5 + t = -8.660254038 Solving -5 + t = -8.660254038 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + t = -8.660254038 + 5 Combine like terms: -5 + 5 = 0 0 + t = -8.660254038 + 5 t = -8.660254038 + 5 Combine like terms: -8.660254038 + 5 = -3.660254038 t = -3.660254038 Simplifying t = -3.660254038Solution
The solution to the problem is based on the solutions from the subproblems. t = {13.660254038, -3.660254038}Solution
t = {13.660254038, -3.660254038}
| 12x^2+10x-100=0 | | [2/3]^x=9/4 | | 180=72+2x+x | | (x^2y)(16x/y) | | -8=r/4 | | 10!/5! | | 20=-16t^2+16t+36 | | 96m=2(31m)+2w | | 2003-03-03-00-00_files/i0190000.jpg | | m-1/1/2=-5/4 | | 3(2x-4)+14=26 | | 9t-4t=10-5t | | -2=-2-4n-4 | | 12x+7=-3x+23 | | 6y+2=17+9 | | E^3x-7=1 | | -5(5n-5)+3= | | 4.8-1.3x=23+1.3x | | 1/2•5 | | X/4-4/x/1-4/x | | 1/2•5•4 | | Y+7=-0.7(x-2) | | 3+n+n=7 | | 10b=p | | 3x=33-25 | | 3x+6+x+6=65 | | x^4+2x^43=10x^2 | | -7wx^2(6w^6-8w^4x^3+4x^3)= | | 6x+3x+4x-5x= | | m(5x-25)=(-25)x-125 | | 8x+8y=18 | | 4x+8=12.8 |
