If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3t2 + 10t + -360 = 0 Reorder the terms: -360 + 10t + 3t2 = 0 Solving -360 + 10t + 3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -120 + 3.333333333t + t2 = 0 Move the constant term to the right: Add '120' to each side of the equation. -120 + 3.333333333t + 120 + t2 = 0 + 120 Reorder the terms: -120 + 120 + 3.333333333t + t2 = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 3.333333333t + t2 = 0 + 120 3.333333333t + t2 = 0 + 120 Combine like terms: 0 + 120 = 120 3.333333333t + t2 = 120 The t term is 3.333333333t. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333t + 2.777777779 + t2 = 120 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333t + t2 = 120 + 2.777777779 Combine like terms: 120 + 2.777777779 = 122.777777779 2.777777779 + 3.333333333t + t2 = 122.777777779 Factor a perfect square on the left side: (t + 1.666666667)(t + 1.666666667) = 122.777777779 Calculate the square root of the right side: 11.080513426 Break this problem into two subproblems by setting (t + 1.666666667) equal to 11.080513426 and -11.080513426.Subproblem 1
t + 1.666666667 = 11.080513426 Simplifying t + 1.666666667 = 11.080513426 Reorder the terms: 1.666666667 + t = 11.080513426 Solving 1.666666667 + t = 11.080513426 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + t = 11.080513426 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + t = 11.080513426 + -1.666666667 t = 11.080513426 + -1.666666667 Combine like terms: 11.080513426 + -1.666666667 = 9.413846759 t = 9.413846759 Simplifying t = 9.413846759Subproblem 2
t + 1.666666667 = -11.080513426 Simplifying t + 1.666666667 = -11.080513426 Reorder the terms: 1.666666667 + t = -11.080513426 Solving 1.666666667 + t = -11.080513426 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + t = -11.080513426 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + t = -11.080513426 + -1.666666667 t = -11.080513426 + -1.666666667 Combine like terms: -11.080513426 + -1.666666667 = -12.747180093 t = -12.747180093 Simplifying t = -12.747180093Solution
The solution to the problem is based on the solutions from the subproblems. t = {9.413846759, -12.747180093}
| 20x+5y=222522.12 | | u+10=2u | | 7+2m=2(m+6) | | 7j+14-5=16 | | 6(1-7m)=-246 | | 4(a^2-3a-4)-2(5a^2-a-6)= | | .5d=20 | | 3g+2(-3+5g)=1-g | | 6p=p+65 | | 500=25z+200 | | [B+4]=3 | | 2x-8+x=50 | | 16t^2=20 | | 2(6x-1)=22 | | x+2x+x-8=50 | | -192=4(1-7k) | | X^2=-2x+25 | | P-5-12=-9 | | 2x+x-8=50 | | p=-10x^2+60x-42 | | x^2+6+7x+8=3x+19 | | -7x-2=24+9x | | 4(-x+4)=-40+4x | | 4x=-16y+32 | | [4n-1]=-6 | | -13(2x-4)=5(4x-8) | | 1.4-x=-1.7 | | 11-2g+6-5= | | 36-7a=-5-8(1+7a) | | -10x^2+60x-42= | | -5x+3x+20-10x= | | 11p-23=27 |