If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -128 = -16t2 + -16t Reorder the terms: -128 = -16t + -16t2 Solving -128 = -16t + -16t2 Solving for variable 't'. Reorder the terms: -128 + 16t + 16t2 = -16t + 16t + -16t2 + 16t2 Combine like terms: -16t + 16t = 0 -128 + 16t + 16t2 = 0 + -16t2 + 16t2 -128 + 16t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -128 + 16t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-8 + t + t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-8 + t + t2)' equal to zero and attempt to solve: Simplifying -8 + t + t2 = 0 Solving -8 + t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '8' to each side of the equation. -8 + t + 8 + t2 = 0 + 8 Reorder the terms: -8 + 8 + t + t2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + t + t2 = 0 + 8 t + t2 = 0 + 8 Combine like terms: 0 + 8 = 8 t + t2 = 8 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. t + 0.25 + t2 = 8 + 0.25 Reorder the terms: 0.25 + t + t2 = 8 + 0.25 Combine like terms: 8 + 0.25 = 8.25 0.25 + t + t2 = 8.25 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = 8.25 Calculate the square root of the right side: 2.872281323 Break this problem into two subproblems by setting (t + 0.5) equal to 2.872281323 and -2.872281323.Subproblem 1
t + 0.5 = 2.872281323 Simplifying t + 0.5 = 2.872281323 Reorder the terms: 0.5 + t = 2.872281323 Solving 0.5 + t = 2.872281323 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 = 2.872281323 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 2.872281323 + -0.5 t = 2.872281323 + -0.5 Combine like terms: 2.872281323 + -0.5 = 2.372281323 t = 2.372281323 Simplifying t = 2.372281323Subproblem 2
t + 0.5 = -2.872281323 Simplifying t + 0.5 = -2.872281323 Reorder the terms: 0.5 + t = -2.872281323 Solving 0.5 + t = -2.872281323 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 = -2.872281323 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -2.872281323 + -0.5 t = -2.872281323 + -0.5 Combine like terms: -2.872281323 + -0.5 = -3.372281323 t = -3.372281323 Simplifying t = -3.372281323Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.372281323, -3.372281323}Solution
t = {2.372281323, -3.372281323}
| x-2.5=0.25 | | 2x+x-12=3 | | 7(-7x+7)=-343 | | 6-8p=26 | | 6-5(6-1)=31 | | 1-2(4-3(x+1))=4(x-5)-1 | | ln(3x-10)=5 | | b-7.5=2.8 | | 3y-4/5=1/3y | | -2(-4x+4)=-64 | | (-20)+(-15)= | | p+19=10p | | 7(8+5x)=441 | | -(n+3)-5n=-6(n-7) | | 2.5y+3=-1y+2.3 | | 6a+3a=45 | | 10g+10=9g | | 2/x-1=5/x | | -2(9+4x)=46 | | 23=c-35 | | 3t+1/4=3/4t-5 | | B^2-2b-36=0 | | -3(n+2)=6 | | 15+9(x-2)=13x-4(x+4) | | (20)-(22)= | | 11+(-x)=44 | | 4x+7=11+X | | 85+60+x=180 | | 3(7+4x)=-99 | | 10a-2a=16 | | 6-4c=8-4c | | 3/4x-18=1/4x-4 |