If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3t(2t + -5) + 4t = 5t + -9 Reorder the terms: -3t(-5 + 2t) + 4t = 5t + -9 (-5 * -3t + 2t * -3t) + 4t = 5t + -9 (15t + -6t2) + 4t = 5t + -9 Reorder the terms: 15t + 4t + -6t2 = 5t + -9 Combine like terms: 15t + 4t = 19t 19t + -6t2 = 5t + -9 Reorder the terms: 19t + -6t2 = -9 + 5t Solving 19t + -6t2 = -9 + 5t Solving for variable 't'. Reorder the terms: 9 + 19t + -5t + -6t2 = -9 + 5t + 9 + -5t Combine like terms: 19t + -5t = 14t 9 + 14t + -6t2 = -9 + 5t + 9 + -5t Reorder the terms: 9 + 14t + -6t2 = -9 + 9 + 5t + -5t Combine like terms: -9 + 9 = 0 9 + 14t + -6t2 = 0 + 5t + -5t 9 + 14t + -6t2 = 5t + -5t Combine like terms: 5t + -5t = 0 9 + 14t + -6t2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. -1.5 + -2.333333333t + t2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -2.333333333t + 1.5 + t2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -2.333333333t + t2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2.333333333t + t2 = 0 + 1.5 -2.333333333t + t2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -2.333333333t + t2 = 1.5 The t term is -2.333333333t. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333t + 1.361111112 + t2 = 1.5 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333t + t2 = 1.5 + 1.361111112 Combine like terms: 1.5 + 1.361111112 = 2.861111112 1.361111112 + -2.333333333t + t2 = 2.861111112 Factor a perfect square on the left side: (t + -1.166666667)(t + -1.166666667) = 2.861111112 Calculate the square root of the right side: 1.691481928 Break this problem into two subproblems by setting (t + -1.166666667) equal to 1.691481928 and -1.691481928.Subproblem 1
t + -1.166666667 = 1.691481928 Simplifying t + -1.166666667 = 1.691481928 Reorder the terms: -1.166666667 + t = 1.691481928 Solving -1.166666667 + t = 1.691481928 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.166666667' to each side of the equation. -1.166666667 + 1.166666667 + t = 1.691481928 + 1.166666667 Combine like terms: -1.166666667 + 1.166666667 = 0.000000000 0.000000000 + t = 1.691481928 + 1.166666667 t = 1.691481928 + 1.166666667 Combine like terms: 1.691481928 + 1.166666667 = 2.858148595 t = 2.858148595 Simplifying t = 2.858148595Subproblem 2
t + -1.166666667 = -1.691481928 Simplifying t + -1.166666667 = -1.691481928 Reorder the terms: -1.166666667 + t = -1.691481928 Solving -1.166666667 + t = -1.691481928 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.166666667' to each side of the equation. -1.166666667 + 1.166666667 + t = -1.691481928 + 1.166666667 Combine like terms: -1.166666667 + 1.166666667 = 0.000000000 0.000000000 + t = -1.691481928 + 1.166666667 t = -1.691481928 + 1.166666667 Combine like terms: -1.691481928 + 1.166666667 = -0.524815261 t = -0.524815261 Simplifying t = -0.524815261Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.858148595, -0.524815261}
| 2x(x+1)-(x+1)=0 | | -.02k+1=11 | | 12s=89 | | 6+49x=21x+42 | | 2x+(x+12)=180 | | .02k+1=11 | | 9(x-2)=3(x-2) | | 4.5x-39=2.2x+7 | | n+n+m=2 | | -3t(4t-4)+8t=3t-4 | | 7x+4=x+10 | | x=y/6(16-z) | | -27x^2+48x-5= | | 4(t-3)=2t+7 | | -2(3t-4)+3t=2t-3 | | -27x^3+48x-5= | | 10x^2+2.5x-45=0 | | 3x+11=6x-4 | | 5+6=5+x | | 6x^2-4x=-11 | | 8+y=6+2y | | -5(3t-2)+2t=4t-9 | | x^4-8x^3+98x^2-648x+1377=0 | | 36m^-4n^-6/4mn^-2p^-4 | | -x^2-100=0 | | 19=4-2m-m+7 | | (2x+4)+(3x-13)=180 | | 20a+25= | | 12-4y=2(y+9) | | 2.50x=500+0.35x | | 16a+28= | | 150x+50y=8395 |