If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 126 = 16t2 + 90t Reorder the terms: 126 = 90t + 16t2 Solving 126 = 90t + 16t2 Solving for variable 't'. Reorder the terms: 126 + -90t + -16t2 = 90t + -90t + 16t2 + -16t2 Combine like terms: 90t + -90t = 0 126 + -90t + -16t2 = 0 + 16t2 + -16t2 126 + -90t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 126 + -90t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(63 + -45t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(63 + -45t + -8t2)' equal to zero and attempt to solve: Simplifying 63 + -45t + -8t2 = 0 Solving 63 + -45t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -7.875 + 5.625t + t2 = 0 Move the constant term to the right: Add '7.875' to each side of the equation. -7.875 + 5.625t + 7.875 + t2 = 0 + 7.875 Reorder the terms: -7.875 + 7.875 + 5.625t + t2 = 0 + 7.875 Combine like terms: -7.875 + 7.875 = 0.000 0.000 + 5.625t + t2 = 0 + 7.875 5.625t + t2 = 0 + 7.875 Combine like terms: 0 + 7.875 = 7.875 5.625t + t2 = 7.875 The t term is 5.625t. Take half its coefficient (2.8125). Square it (7.91015625) and add it to both sides. Add '7.91015625' to each side of the equation. 5.625t + 7.91015625 + t2 = 7.875 + 7.91015625 Reorder the terms: 7.91015625 + 5.625t + t2 = 7.875 + 7.91015625 Combine like terms: 7.875 + 7.91015625 = 15.78515625 7.91015625 + 5.625t + t2 = 15.78515625 Factor a perfect square on the left side: (t + 2.8125)(t + 2.8125) = 15.78515625 Calculate the square root of the right side: 3.973053769 Break this problem into two subproblems by setting (t + 2.8125) equal to 3.973053769 and -3.973053769.Subproblem 1
t + 2.8125 = 3.973053769 Simplifying t + 2.8125 = 3.973053769 Reorder the terms: 2.8125 + t = 3.973053769 Solving 2.8125 + t = 3.973053769 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.8125' to each side of the equation. 2.8125 + -2.8125 + t = 3.973053769 + -2.8125 Combine like terms: 2.8125 + -2.8125 = 0.0000 0.0000 + t = 3.973053769 + -2.8125 t = 3.973053769 + -2.8125 Combine like terms: 3.973053769 + -2.8125 = 1.160553769 t = 1.160553769 Simplifying t = 1.160553769Subproblem 2
t + 2.8125 = -3.973053769 Simplifying t + 2.8125 = -3.973053769 Reorder the terms: 2.8125 + t = -3.973053769 Solving 2.8125 + t = -3.973053769 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.8125' to each side of the equation. 2.8125 + -2.8125 + t = -3.973053769 + -2.8125 Combine like terms: 2.8125 + -2.8125 = 0.0000 0.0000 + t = -3.973053769 + -2.8125 t = -3.973053769 + -2.8125 Combine like terms: -3.973053769 + -2.8125 = -6.785553769 t = -6.785553769 Simplifying t = -6.785553769Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.160553769, -6.785553769}Solution
t = {1.160553769, -6.785553769}
| 2x-1.8=4x-4.4 | | X=2y^2+12y+18 | | 4x*(6x+8)=5x*(6x-10) | | 6f+4(f+2)= | | 22+-12k=-14 | | 9(x-2)=3(x-7) | | 8/4=t/8 | | 2xy(12xy+22xy+54)= | | X+3=-3-2x | | 0=2t^3+12t^2-72t | | in(2x-1)=0 | | 4x^2=1196 | | 4(x+14)-3(x+2)=3(x-6)+4(x-4) | | 4z^2-9/16=0 | | 7x-6=18x^2 | | -x+1+9x=-2+5x+9 | | 90=4(8b+16) | | -2*g= | | 7r-30=-16+14r | | 2-1x-1=3-5x-15+8 | | 8x+2+x=1x+4x+11 | | 4x/25=7/25 | | 1/2(4d-2)=d-5 | | 4-(3x-18)=4 | | x^(2/3)-1=0 | | x^2/3-1=0 | | 0.75(12n+8)-2n=8 | | 6x+1=2x-15 | | 7h+9q+19-2q+6h-7-3q+5-7k= | | 9-(z+9)=8 | | x^4+x+3=0 | | 74=2b+5 |