If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12t2 + -12t + -12 = 0 Reorder the terms: -12 + -12t + 12t2 = 0 Solving -12 + -12t + 12t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '12'. 12(-1 + -1t + t2) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-1 + -1t + t2)' equal to zero and attempt to solve: Simplifying -1 + -1t + t2 = 0 Solving -1 + -1t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -1t + 1 + t2 = 0 + 1 Reorder the terms: -1 + 1 + -1t + t2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1t + t2 = 0 + 1 -1t + t2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1t + t2 = 1 The t term is -1t. 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. -1t + 0.25 + t2 = 1 + 0.25 Reorder the terms: 0.25 + -1t + t2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + -1t + t2 = 1.25 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (t + -0.5) equal to 1.118033989 and -1.118033989.Subproblem 1
t + -0.5 = 1.118033989 Simplifying t + -0.5 = 1.118033989 Reorder the terms: -0.5 + t = 1.118033989 Solving -0.5 + t = 1.118033989 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 = 1.118033989 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + t = 1.118033989 + 0.5 t = 1.118033989 + 0.5 Combine like terms: 1.118033989 + 0.5 = 1.618033989 t = 1.618033989 Simplifying t = 1.618033989Subproblem 2
t + -0.5 = -1.118033989 Simplifying t + -0.5 = -1.118033989 Reorder the terms: -0.5 + t = -1.118033989 Solving -0.5 + t = -1.118033989 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 = -1.118033989 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + t = -1.118033989 + 0.5 t = -1.118033989 + 0.5 Combine like terms: -1.118033989 + 0.5 = -0.618033989 t = -0.618033989 Simplifying t = -0.618033989Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.618033989, -0.618033989}Solution
t = {1.618033989, -0.618033989}
| 19/77-12/77 | | (X-9)/7=9/14 | | 7x+2y=53 | | 4=1(6)+b | | 15b-9b-6= | | 4=-11+10(p+10)+5(2p+11) | | 6x-2=-11 | | 3x+3y+z=-19 | | 5x-3=3(x+4) | | -3/4/3/4 | | 3(k-3)-7=6k-(5k-1) | | 2x+7(3x-7)=-18-8x | | 5(6v+7)-4=1 | | 4/5/(-1/6) | | 9x-x-8x=5 | | w-w^5-w^5= | | -7(5+8m)= | | 8(x-2)-4=4(2x-3) | | 4-15/x=7 | | x^2+16=30 | | 8y+4x=81 | | -14/49(7/4) | | x(3x-2)=10 | | 4x+8y=81 | | 2-6f-4= | | 5a-7=7(a+1)+17a+6 | | 120+(3x+60)=180 | | 1-1x=9-9x | | 2/3(-8/9) | | -54=n-3 | | 4+1-2=5 | | -21=-7v |