If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6 = 2 + 17t + 16t2 Solving 6 = 2 + 17t + 16t2 Solving for variable 't'. Combine like terms: 6 + -2 = 4 4 + -17t + -16t2 = 2 + 17t + 16t2 + -2 + -17t + -16t2 Reorder the terms: 4 + -17t + -16t2 = 2 + -2 + 17t + -17t + 16t2 + -16t2 Combine like terms: 2 + -2 = 0 4 + -17t + -16t2 = 0 + 17t + -17t + 16t2 + -16t2 4 + -17t + -16t2 = 17t + -17t + 16t2 + -16t2 Combine like terms: 17t + -17t = 0 4 + -17t + -16t2 = 0 + 16t2 + -16t2 4 + -17t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 4 + -17t + -16t2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. -0.25 + 1.0625t + t2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + 1.0625t + 0.25 + t2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + 1.0625t + t2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 1.0625t + t2 = 0 + 0.25 1.0625t + t2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 1.0625t + t2 = 0.25 The t term is 1.0625t. Take half its coefficient (0.53125). Square it (0.2822265625) and add it to both sides. Add '0.2822265625' to each side of the equation. 1.0625t + 0.2822265625 + t2 = 0.25 + 0.2822265625 Reorder the terms: 0.2822265625 + 1.0625t + t2 = 0.25 + 0.2822265625 Combine like terms: 0.25 + 0.2822265625 = 0.5322265625 0.2822265625 + 1.0625t + t2 = 0.5322265625 Factor a perfect square on the left side: (t + 0.53125)(t + 0.53125) = 0.5322265625 Calculate the square root of the right side: 0.729538596 Break this problem into two subproblems by setting (t + 0.53125) equal to 0.729538596 and -0.729538596.Subproblem 1
t + 0.53125 = 0.729538596 Simplifying t + 0.53125 = 0.729538596 Reorder the terms: 0.53125 + t = 0.729538596 Solving 0.53125 + t = 0.729538596 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.53125' to each side of the equation. 0.53125 + -0.53125 + t = 0.729538596 + -0.53125 Combine like terms: 0.53125 + -0.53125 = 0.00000 0.00000 + t = 0.729538596 + -0.53125 t = 0.729538596 + -0.53125 Combine like terms: 0.729538596 + -0.53125 = 0.198288596 t = 0.198288596 Simplifying t = 0.198288596Subproblem 2
t + 0.53125 = -0.729538596 Simplifying t + 0.53125 = -0.729538596 Reorder the terms: 0.53125 + t = -0.729538596 Solving 0.53125 + t = -0.729538596 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.53125' to each side of the equation. 0.53125 + -0.53125 + t = -0.729538596 + -0.53125 Combine like terms: 0.53125 + -0.53125 = 0.00000 0.00000 + t = -0.729538596 + -0.53125 t = -0.729538596 + -0.53125 Combine like terms: -0.729538596 + -0.53125 = -1.260788596 t = -1.260788596 Simplifying t = -1.260788596Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.198288596, -1.260788596}
| -5(2y-6)+2y=6(y+3) | | 2(6x-4)-2x=-3(2x-4)-4 | | 19t=-57 | | 12z+z-6z+1=14 | | x+8=-3x-40 | | 6a+3a=27 | | 2y-y-(-2)=-2-(-y) | | 9g-6g+(-7g)=16 | | 3x-42=x+24 | | 2x+8y=15 | | -4m+5m-7mn= | | 3x+3-6x=18 | | 0=-0.025x^2+x+6 | | 2u+3u+4=19 | | -x-(-5)=12 | | -2m+3y+3m-2y= | | 3e+1=36-4e | | -15a=-18 | | 1.32(4x-3)=2.38x+1.59 | | 2k+8-3k=148 | | 19p-16p-2p+3p-3p=18 | | -2m+5m-7mn= | | .33x+y=6 | | 8+3x=3+6x | | -3x+2+5x=2 | | 4(x-10)=6(2-x)-6x | | X=.6x+1 | | 5-7(2-3x)=0 | | 7q-12q+(15)=15 | | 2x-1+5x-3=x-4+2x | | -10+4-5=6x-5 | | -2m+fm-7mn= |