If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 2t2 + -6t + -9 Reorder the terms: 0 = -9 + -6t + 2t2 Solving 0 = -9 + -6t + 2t2 Solving for variable 't'. Combine like terms: 0 + 9 = 9 9 + 6t + -2t2 = -9 + -6t + 2t2 + 9 + 6t + -2t2 Reorder the terms: 9 + 6t + -2t2 = -9 + 9 + -6t + 6t + 2t2 + -2t2 Combine like terms: -9 + 9 = 0 9 + 6t + -2t2 = 0 + -6t + 6t + 2t2 + -2t2 9 + 6t + -2t2 = -6t + 6t + 2t2 + -2t2 Combine like terms: -6t + 6t = 0 9 + 6t + -2t2 = 0 + 2t2 + -2t2 9 + 6t + -2t2 = 2t2 + -2t2 Combine like terms: 2t2 + -2t2 = 0 9 + 6t + -2t2 = 0 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}
| (x+12)=3x | | 4x+3.4=2x+3.6 | | 0=16t^2-80t+91 | | 8y-3y+2=3+5y | | 0=-0.75t^2+363t-36720 | | 0=-16t^2+47t+3.5 | | t^2-16t=-63 | | 5m^2+m-130=0 | | 0=-64v^2+55 | | 4x^3-4x-1=0 | | 7z^2+21z-az-3a=0 | | 0=-64v^2+60 | | 18x+3=18x-3 | | 0.9(x+40)+0.1x=61 | | 3=18+n | | 3b^2+7b+3=5b-b^2 | | 0.4(3x+1)=3(3-2x)+13 | | 24(x-1)=-4(6-x)+20x | | 9x^2-17x+8=0 | | (2x-2)(6x+10)= | | 5x-3=5(x-8) | | 40x^2-57x-27=0 | | 0.2(x+5)=0.1(2x+10) | | 9(x+7)=8x+59 | | -4(6x-8)+6=-24x+38 | | 8(x-9)-10x=-2(x-7)+10 | | x^2-22x-11=0 | | 3-2x+2x=13+3x+2x | | -2x^2+3x+17=0 | | 45b+27=0 | | 6x^2+63x=33 | | 0=-16t^2+8t+450 |