If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -2t2 + 6t + 9 = 0 Reorder the terms: 9 + 6t + -2t2 = 0 Solving 9 + 6t + -2t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -4.5 + -3t + t2 = 0 Move the constant term to the right: Add '4.5' to each side of the equation. -4.5 + -3t + 4.5 + t2 = 0 + 4.5 Reorder the terms: -4.5 + 4.5 + -3t + t2 = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -3t + t2 = 0 + 4.5 -3t + t2 = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 -3t + t2 = 4.5 The t term is -3t. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3t + 2.25 + t2 = 4.5 + 2.25 Reorder the terms: 2.25 + -3t + t2 = 4.5 + 2.25 Combine like terms: 4.5 + 2.25 = 6.75 2.25 + -3t + t2 = 6.75 Factor a perfect square on the left side: (t + -1.5)(t + -1.5) = 6.75 Calculate the square root of the right side: 2.598076211 Break this problem into two subproblems by setting (t + -1.5) equal to 2.598076211 and -2.598076211.Subproblem 1
t + -1.5 = 2.598076211 Simplifying t + -1.5 = 2.598076211 Reorder the terms: -1.5 + t = 2.598076211 Solving -1.5 + t = 2.598076211 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + t = 2.598076211 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + t = 2.598076211 + 1.5 t = 2.598076211 + 1.5 Combine like terms: 2.598076211 + 1.5 = 4.098076211 t = 4.098076211 Simplifying t = 4.098076211Subproblem 2
t + -1.5 = -2.598076211 Simplifying t + -1.5 = -2.598076211 Reorder the terms: -1.5 + t = -2.598076211 Solving -1.5 + t = -2.598076211 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + t = -2.598076211 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + t = -2.598076211 + 1.5 t = -2.598076211 + 1.5 Combine like terms: -2.598076211 + 1.5 = -1.098076211 t = -1.098076211 Simplifying t = -1.098076211Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.098076211, -1.098076211}
| 0.9t+2.3t=-6.4 | | -5x+2+14=3x | | y/3+1=7 | | s+3.5s+20=65 | | -x-5y+6z=-24 | | 10x-9+6x=3x-2+7 | | 3*-3-5*0=a | | 14p=p^2-51 | | 1/315+6=30 | | 5x-4y+2z=21 | | X+9=30-2x | | Y=-12-4*(-3) | | 1/3m+6=15 | | C^2-50=-23k | | 45+37=82 | | -2r+s+4t=-9 | | 3x-5*(-12-4x)=-9 | | 24=k^2-10k | | x+3/5=x+7/12 | | 17x-186=3x+5 | | n/2-20=6 | | x+7=-3x+4 | | 4x+114+2x-156=180 | | -5*w^2+51=6 | | -6*(2/3)+3 | | (2a^2-0.3)(2a^2+0.3)= | | x*8-66=2x | | -3*(2/3)+5=y | | -9+6x=5-x | | 2(x-3)+5=6x-4(-1+x) | | -6x+(-3x+5)=-1 | | 43=6(x*x)-5x |