If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 161 = 16t2 + 32t Reorder the terms: 161 = 32t + 16t2 Solving 161 = 32t + 16t2 Solving for variable 't'. Reorder the terms: 161 + -32t + -16t2 = 32t + -32t + 16t2 + -16t2 Combine like terms: 32t + -32t = 0 161 + -32t + -16t2 = 0 + 16t2 + -16t2 161 + -32t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 161 + -32t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. -10.0625 + 2t + t2 = 0 Move the constant term to the right: Add '10.0625' to each side of the equation. -10.0625 + 2t + 10.0625 + t2 = 0 + 10.0625 Reorder the terms: -10.0625 + 10.0625 + 2t + t2 = 0 + 10.0625 Combine like terms: -10.0625 + 10.0625 = 0.0000 0.0000 + 2t + t2 = 0 + 10.0625 2t + t2 = 0 + 10.0625 Combine like terms: 0 + 10.0625 = 10.0625 2t + t2 = 10.0625 The t term is 2t. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2t + 1 + t2 = 10.0625 + 1 Reorder the terms: 1 + 2t + t2 = 10.0625 + 1 Combine like terms: 10.0625 + 1 = 11.0625 1 + 2t + t2 = 11.0625 Factor a perfect square on the left side: (t + 1)(t + 1) = 11.0625 Calculate the square root of the right side: 3.326033674 Break this problem into two subproblems by setting (t + 1) equal to 3.326033674 and -3.326033674.Subproblem 1
t + 1 = 3.326033674 Simplifying t + 1 = 3.326033674 Reorder the terms: 1 + t = 3.326033674 Solving 1 + t = 3.326033674 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t = 3.326033674 + -1 Combine like terms: 1 + -1 = 0 0 + t = 3.326033674 + -1 t = 3.326033674 + -1 Combine like terms: 3.326033674 + -1 = 2.326033674 t = 2.326033674 Simplifying t = 2.326033674Subproblem 2
t + 1 = -3.326033674 Simplifying t + 1 = -3.326033674 Reorder the terms: 1 + t = -3.326033674 Solving 1 + t = -3.326033674 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t = -3.326033674 + -1 Combine like terms: 1 + -1 = 0 0 + t = -3.326033674 + -1 t = -3.326033674 + -1 Combine like terms: -3.326033674 + -1 = -4.326033674 t = -4.326033674 Simplifying t = -4.326033674Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.326033674, -4.326033674}
| x+45/8+x+29/4=14 | | .5-1.23= | | 3/4(68)+1/4x=70 | | x^2+6x+70=0 | | 1/6x^2+6=0 | | 16/11x=144 | | 4.2-(-1.5)= | | 20y-35/5 | | 5x+8x-9=7x | | -4/13k=12/13 | | 4-16y/4 | | x^2=-500 | | (x^2-9)/x^2*(x^2-3)/(x^2+5x-24) | | (3x/4)-8=40 | | -4-3*2+8(10-2)= | | 28y^2+184y+96=0 | | y=x(4x-1)(2x-7) | | 4x+2x=10+1x | | [-12]= | | [12]= | | 3/7x=130-x | | (5x+1/8)+(2x+1/3)=2 | | 16y^2-114y+14=0 | | 4x/5-1/5=2x-1 | | -6y=3.96 | | 67/8-33/8 | | (2x^3y)(-4x^2y^3)= | | 2.8a+7.22=-0.62 | | 7w-3w+4=-15 | | (2x^3y)(-4x^2y^3)= | | 3(4x-3.2)=4x-9.6 | | 22x-15=-5(3+4x) |