If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 23 = 3 + 37t + -16t2 Solving 23 = 3 + 37t + -16t2 Solving for variable 't'. Combine like terms: 23 + -3 = 20 20 + -37t + 16t2 = 3 + 37t + -16t2 + -3 + -37t + 16t2 Reorder the terms: 20 + -37t + 16t2 = 3 + -3 + 37t + -37t + -16t2 + 16t2 Combine like terms: 3 + -3 = 0 20 + -37t + 16t2 = 0 + 37t + -37t + -16t2 + 16t2 20 + -37t + 16t2 = 37t + -37t + -16t2 + 16t2 Combine like terms: 37t + -37t = 0 20 + -37t + 16t2 = 0 + -16t2 + 16t2 20 + -37t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 20 + -37t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.25 + -2.3125t + t2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -2.3125t + -1.25 + t2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -2.3125t + t2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -2.3125t + t2 = 0 + -1.25 -2.3125t + t2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -2.3125t + t2 = -1.25 The t term is -2.3125t. Take half its coefficient (-1.15625). Square it (1.336914063) and add it to both sides. Add '1.336914063' to each side of the equation. -2.3125t + 1.336914063 + t2 = -1.25 + 1.336914063 Reorder the terms: 1.336914063 + -2.3125t + t2 = -1.25 + 1.336914063 Combine like terms: -1.25 + 1.336914063 = 0.086914063 1.336914063 + -2.3125t + t2 = 0.086914063 Factor a perfect square on the left side: (t + -1.15625)(t + -1.15625) = 0.086914063 Calculate the square root of the right side: 0.294811911 Break this problem into two subproblems by setting (t + -1.15625) equal to 0.294811911 and -0.294811911.Subproblem 1
t + -1.15625 = 0.294811911 Simplifying t + -1.15625 = 0.294811911 Reorder the terms: -1.15625 + t = 0.294811911 Solving -1.15625 + t = 0.294811911 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.15625' to each side of the equation. -1.15625 + 1.15625 + t = 0.294811911 + 1.15625 Combine like terms: -1.15625 + 1.15625 = 0.00000 0.00000 + t = 0.294811911 + 1.15625 t = 0.294811911 + 1.15625 Combine like terms: 0.294811911 + 1.15625 = 1.451061911 t = 1.451061911 Simplifying t = 1.451061911Subproblem 2
t + -1.15625 = -0.294811911 Simplifying t + -1.15625 = -0.294811911 Reorder the terms: -1.15625 + t = -0.294811911 Solving -1.15625 + t = -0.294811911 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.15625' to each side of the equation. -1.15625 + 1.15625 + t = -0.294811911 + 1.15625 Combine like terms: -1.15625 + 1.15625 = 0.00000 0.00000 + t = -0.294811911 + 1.15625 t = -0.294811911 + 1.15625 Combine like terms: -0.294811911 + 1.15625 = 0.861438089 t = 0.861438089 Simplifying t = 0.861438089Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.451061911, 0.861438089}
| -8=2+3m-1 | | 5(x+3)-(2x-1)=3 | | 0.35x+.05(12-x)=.10(-48) | | -8=2+9m-1 | | 4x-9x=39 | | d-4.9=18.8 | | -[7x-(3x+10)]=-3-[4(2x-4)-2x] | | 3(3n+3)=9(6n+5)8 | | 6(x-5)=-48 | | 0.5x-0.3(2-x)=4.6 | | -4=a+6 | | 9x^2+3x-3xy-y=0 | | 5x^2-2x^2+9x^2+x^2=0 | | .01x+.10x+.25(35-2x)=4.07 | | 5+3x+2x+7=2 | | 4p^3+36p=0 | | 42-x=19 | | c-4=13.7 | | 6x*x+7x-20=0 | | n-6=-10 | | 0=x^2-25x+144 | | 9(5+x)=15(10+x) | | 4x-(9-3x)=18x-1 | | w=4+8 | | 15-j+5j+2=-14 | | p=4+8 | | -4(x+4)=5-(-4) | | 2(-18)+3=3(-18)+7 | | -5(x+7)=5-(-1) | | 4x=3(49-x) | | 5+h=-6 | | .67x=5 |