If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -8t2 + -9t + 105 Reorder the terms: 0 = 105 + -9t + -8t2 Solving 0 = 105 + -9t + -8t2 Solving for variable 't'. Combine like terms: 0 + -105 = -105 -105 + 9t + 8t2 = 105 + -9t + -8t2 + -105 + 9t + 8t2 Reorder the terms: -105 + 9t + 8t2 = 105 + -105 + -9t + 9t + -8t2 + 8t2 Combine like terms: 105 + -105 = 0 -105 + 9t + 8t2 = 0 + -9t + 9t + -8t2 + 8t2 -105 + 9t + 8t2 = -9t + 9t + -8t2 + 8t2 Combine like terms: -9t + 9t = 0 -105 + 9t + 8t2 = 0 + -8t2 + 8t2 -105 + 9t + 8t2 = -8t2 + 8t2 Combine like terms: -8t2 + 8t2 = 0 -105 + 9t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -13.125 + 1.125t + t2 = 0 Move the constant term to the right: Add '13.125' to each side of the equation. -13.125 + 1.125t + 13.125 + t2 = 0 + 13.125 Reorder the terms: -13.125 + 13.125 + 1.125t + t2 = 0 + 13.125 Combine like terms: -13.125 + 13.125 = 0.000 0.000 + 1.125t + t2 = 0 + 13.125 1.125t + t2 = 0 + 13.125 Combine like terms: 0 + 13.125 = 13.125 1.125t + t2 = 13.125 The t term is 1.125t. Take half its coefficient (0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. 1.125t + 0.31640625 + t2 = 13.125 + 0.31640625 Reorder the terms: 0.31640625 + 1.125t + t2 = 13.125 + 0.31640625 Combine like terms: 13.125 + 0.31640625 = 13.44140625 0.31640625 + 1.125t + t2 = 13.44140625 Factor a perfect square on the left side: (t + 0.5625)(t + 0.5625) = 13.44140625 Calculate the square root of the right side: 3.666252344 Break this problem into two subproblems by setting (t + 0.5625) equal to 3.666252344 and -3.666252344.Subproblem 1
t + 0.5625 = 3.666252344 Simplifying t + 0.5625 = 3.666252344 Reorder the terms: 0.5625 + t = 3.666252344 Solving 0.5625 + t = 3.666252344 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5625' to each side of the equation. 0.5625 + -0.5625 + t = 3.666252344 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + t = 3.666252344 + -0.5625 t = 3.666252344 + -0.5625 Combine like terms: 3.666252344 + -0.5625 = 3.103752344 t = 3.103752344 Simplifying t = 3.103752344Subproblem 2
t + 0.5625 = -3.666252344 Simplifying t + 0.5625 = -3.666252344 Reorder the terms: 0.5625 + t = -3.666252344 Solving 0.5625 + t = -3.666252344 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5625' to each side of the equation. 0.5625 + -0.5625 + t = -3.666252344 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + t = -3.666252344 + -0.5625 t = -3.666252344 + -0.5625 Combine like terms: -3.666252344 + -0.5625 = -4.228752344 t = -4.228752344 Simplifying t = -4.228752344Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.103752344, -4.228752344}
| x*2+x+12=180 | | 1/3x=x^2+5 | | 6x-66/5=5x+55/6 | | 18(8c-1)-12=142c+18 | | 4+10*-9=y | | 3y-2=2y+18 | | x/14=-38+14 | | -3y-5=7 | | x+8x=180 | | m-5m+9m+6= | | 4y+36=3y-2 | | 0=-16x^2-18x+210 | | 5n^2-12=0 | | (-3a^3b)(8a^2b^7)= | | 5/12x=-3/24 | | r-8.2=-7.3 | | 36a+32= | | 56+6x=58+5x | | x+9x=90 | | 94+6x=102+4x | | 3(7x+9)=98 | | (-4+4)(-4-2)= | | 2x^2+11=43 | | x(3)10=90 | | 6(6+x)=5(12) | | .20x+.35(50)=34.5 | | x+6x=90 | | 6x+17x=-15+14x | | k^2-3k=0 | | 5(3n+2)=9(4n+3)+6 | | 6x+x^2=60 | | 4(x+2)+5x=-4(x-2)+13x |