If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = t2 + -120t + -180 Reorder the terms: 0 = -180 + -120t + t2 Solving 0 = -180 + -120t + t2 Solving for variable 't'. Combine like terms: 0 + 180 = 180 180 + 120t + -1t2 = -180 + -120t + t2 + 180 + 120t + -1t2 Reorder the terms: 180 + 120t + -1t2 = -180 + 180 + -120t + 120t + t2 + -1t2 Combine like terms: -180 + 180 = 0 180 + 120t + -1t2 = 0 + -120t + 120t + t2 + -1t2 180 + 120t + -1t2 = -120t + 120t + t2 + -1t2 Combine like terms: -120t + 120t = 0 180 + 120t + -1t2 = 0 + t2 + -1t2 180 + 120t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 180 + 120t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -180 + -120t + t2 = 0 Move the constant term to the right: Add '180' to each side of the equation. -180 + -120t + 180 + t2 = 0 + 180 Reorder the terms: -180 + 180 + -120t + t2 = 0 + 180 Combine like terms: -180 + 180 = 0 0 + -120t + t2 = 0 + 180 -120t + t2 = 0 + 180 Combine like terms: 0 + 180 = 180 -120t + t2 = 180 The t term is -120t. Take half its coefficient (-60). Square it (3600) and add it to both sides. Add '3600' to each side of the equation. -120t + 3600 + t2 = 180 + 3600 Reorder the terms: 3600 + -120t + t2 = 180 + 3600 Combine like terms: 180 + 3600 = 3780 3600 + -120t + t2 = 3780 Factor a perfect square on the left side: (t + -60)(t + -60) = 3780 Calculate the square root of the right side: 61.481704596 Break this problem into two subproblems by setting (t + -60) equal to 61.481704596 and -61.481704596.Subproblem 1
t + -60 = 61.481704596 Simplifying t + -60 = 61.481704596 Reorder the terms: -60 + t = 61.481704596 Solving -60 + t = 61.481704596 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + t = 61.481704596 + 60 Combine like terms: -60 + 60 = 0 0 + t = 61.481704596 + 60 t = 61.481704596 + 60 Combine like terms: 61.481704596 + 60 = 121.481704596 t = 121.481704596 Simplifying t = 121.481704596Subproblem 2
t + -60 = -61.481704596 Simplifying t + -60 = -61.481704596 Reorder the terms: -60 + t = -61.481704596 Solving -60 + t = -61.481704596 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + t = -61.481704596 + 60 Combine like terms: -60 + 60 = 0 0 + t = -61.481704596 + 60 t = -61.481704596 + 60 Combine like terms: -61.481704596 + 60 = -1.481704596 t = -1.481704596 Simplifying t = -1.481704596Solution
The solution to the problem is based on the solutions from the subproblems. t = {121.481704596, -1.481704596}
| m^3+26m^2+169=0 | | 12x^3+61x^2+4x-5=0 | | 9x+100=25x | | g(x)=-3x^2+24 | | 2x^2-4x+4= | | 14x-6+160=180 | | -2x+8+3x=5+x+3 | | -3z=-5 | | 3x^2+25x+15=0 | | 3d+7e+11d+10e= | | 34=-6x+4(x+6) | | 8w+w=-8+2 | | x*2+81=0 | | 64x+2+26x-2=180 | | 60+0.20=40+0.30 | | 5z+8z=-11-7 | | -6x+4(x+6)=34 | | 3b-4a= | | ax+2=3x+b | | 4b-3a= | | n+(n+1)+(n+1)=84 | | 10x+40=80 | | 3x+4y+13x+22-4y+3= | | 3i-9=-30 | | x*2+x=28 | | .6x=.1x+12 | | 4-6x=3x-20 | | 5x-1.5=x | | 3c+9= | | -7n-3=-24 | | 9-8x=9-6x | | c-4= |