If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 21 + 33t + -16t2 = 0 Solving 21 + 33t + -16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. -1.3125 + -2.0625t + t2 = 0 Move the constant term to the right: Add '1.3125' to each side of the equation. -1.3125 + -2.0625t + 1.3125 + t2 = 0 + 1.3125 Reorder the terms: -1.3125 + 1.3125 + -2.0625t + t2 = 0 + 1.3125 Combine like terms: -1.3125 + 1.3125 = 0.0000 0.0000 + -2.0625t + t2 = 0 + 1.3125 -2.0625t + t2 = 0 + 1.3125 Combine like terms: 0 + 1.3125 = 1.3125 -2.0625t + t2 = 1.3125 The t term is -2.0625t. Take half its coefficient (-1.03125). Square it (1.063476563) and add it to both sides. Add '1.063476563' to each side of the equation. -2.0625t + 1.063476563 + t2 = 1.3125 + 1.063476563 Reorder the terms: 1.063476563 + -2.0625t + t2 = 1.3125 + 1.063476563 Combine like terms: 1.3125 + 1.063476563 = 2.375976563 1.063476563 + -2.0625t + t2 = 2.375976563 Factor a perfect square on the left side: (t + -1.03125)(t + -1.03125) = 2.375976563 Calculate the square root of the right side: 1.541420307 Break this problem into two subproblems by setting (t + -1.03125) equal to 1.541420307 and -1.541420307.Subproblem 1
t + -1.03125 = 1.541420307 Simplifying t + -1.03125 = 1.541420307 Reorder the terms: -1.03125 + t = 1.541420307 Solving -1.03125 + t = 1.541420307 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.03125' to each side of the equation. -1.03125 + 1.03125 + t = 1.541420307 + 1.03125 Combine like terms: -1.03125 + 1.03125 = 0.00000 0.00000 + t = 1.541420307 + 1.03125 t = 1.541420307 + 1.03125 Combine like terms: 1.541420307 + 1.03125 = 2.572670307 t = 2.572670307 Simplifying t = 2.572670307Subproblem 2
t + -1.03125 = -1.541420307 Simplifying t + -1.03125 = -1.541420307 Reorder the terms: -1.03125 + t = -1.541420307 Solving -1.03125 + t = -1.541420307 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.03125' to each side of the equation. -1.03125 + 1.03125 + t = -1.541420307 + 1.03125 Combine like terms: -1.03125 + 1.03125 = 0.00000 0.00000 + t = -1.541420307 + 1.03125 t = -1.541420307 + 1.03125 Combine like terms: -1.541420307 + 1.03125 = -0.510170307 t = -0.510170307 Simplifying t = -0.510170307Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.572670307, -0.510170307}
| 5+33t-16t^2=0 | | 7-3(x-2)=4-4x(7-x) | | 35-5t-5t^2=0 | | k-l*x^2-5x+3k-7=0 | | 2/7(N-37) | | 16t^2-230t-110=0 | | x^2+1k+2x-3k+4=Q | | 3(x+5)=2[x-(9-x)] | | y=[x-(1+2i)][x-(1-2i)](x-3) | | 2+9t+5t^2=0 | | 1+9t+5t^2=0 | | 20-5t-5t^2=0 | | 3*b+5*x+6=0 | | 17x-(9x-8)=80 | | X^2+24x-205=0 | | 18-3x=-21 | | 7x-2=2x-8+4x | | 138t-16t^2=0 | | 5t^2-13t+5=0 | | 2a*2-8b-3*x+18=0 | | 10x=.555 | | 3*2+2x+b=0 | | 3*2+3+b=0 | | 7(9x-4)-5(2x+4)=252 | | 3+ax+15=O | | 2+2+15=O | | 7(9x+4)-5(2x+4)=252 | | 638.75=c+.25c | | 8h-2=22 | | 5f-1=44 | | E/5-2=4 | | x^1=-2 |