If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = 4 + 21t + -16t2 Solving 10 = 4 + 21t + -16t2 Solving for variable 't'. Combine like terms: 10 + -4 = 6 6 + -21t + 16t2 = 4 + 21t + -16t2 + -4 + -21t + 16t2 Reorder the terms: 6 + -21t + 16t2 = 4 + -4 + 21t + -21t + -16t2 + 16t2 Combine like terms: 4 + -4 = 0 6 + -21t + 16t2 = 0 + 21t + -21t + -16t2 + 16t2 6 + -21t + 16t2 = 21t + -21t + -16t2 + 16t2 Combine like terms: 21t + -21t = 0 6 + -21t + 16t2 = 0 + -16t2 + 16t2 6 + -21t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 6 + -21t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.375 + -1.3125t + t2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -1.3125t + -0.375 + t2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -1.3125t + t2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -1.3125t + t2 = 0 + -0.375 -1.3125t + t2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -1.3125t + t2 = -0.375 The t term is -1.3125t. Take half its coefficient (-0.65625). Square it (0.4306640625) and add it to both sides. Add '0.4306640625' to each side of the equation. -1.3125t + 0.4306640625 + t2 = -0.375 + 0.4306640625 Reorder the terms: 0.4306640625 + -1.3125t + t2 = -0.375 + 0.4306640625 Combine like terms: -0.375 + 0.4306640625 = 0.0556640625 0.4306640625 + -1.3125t + t2 = 0.0556640625 Factor a perfect square on the left side: (t + -0.65625)(t + -0.65625) = 0.0556640625 Calculate the square root of the right side: 0.235932326 Break this problem into two subproblems by setting (t + -0.65625) equal to 0.235932326 and -0.235932326.Subproblem 1
t + -0.65625 = 0.235932326 Simplifying t + -0.65625 = 0.235932326 Reorder the terms: -0.65625 + t = 0.235932326 Solving -0.65625 + t = 0.235932326 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.65625' to each side of the equation. -0.65625 + 0.65625 + t = 0.235932326 + 0.65625 Combine like terms: -0.65625 + 0.65625 = 0.00000 0.00000 + t = 0.235932326 + 0.65625 t = 0.235932326 + 0.65625 Combine like terms: 0.235932326 + 0.65625 = 0.892182326 t = 0.892182326 Simplifying t = 0.892182326Subproblem 2
t + -0.65625 = -0.235932326 Simplifying t + -0.65625 = -0.235932326 Reorder the terms: -0.65625 + t = -0.235932326 Solving -0.65625 + t = -0.235932326 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.65625' to each side of the equation. -0.65625 + 0.65625 + t = -0.235932326 + 0.65625 Combine like terms: -0.65625 + 0.65625 = 0.00000 0.00000 + t = -0.235932326 + 0.65625 t = -0.235932326 + 0.65625 Combine like terms: -0.235932326 + 0.65625 = 0.420317674 t = 0.420317674 Simplifying t = 0.420317674Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.892182326, 0.420317674}
| y=-5t^2+20 | | 4t+15=-1 | | -2x+45=27 | | 4x^3(3x^2-2x+6)= | | ln(x^4)-4ln(x)=0 | | y^2=4y-4 | | 20=32-n | | -2+45=27 | | -3x+3(8x+6)=-129 | | 0=100x^2 | | 5logx=-15 | | a-128.5=.0935a | | 7b=2b-15 | | (y-3)+4x-10=9 | | 1.5x+3.2x+x=180 | | 7=16-n | | -7(x+7)=-105 | | -2y+8=2(3y+10) | | -457=8(8x-2)-x | | 15x-7=54 | | n^2+7=16 | | 7x-(-1)=4-8 | | -3(7+7n)+3=150 | | 6-7.3(n+0.2)=4.59-7.4n | | 4x^2+3x-320=0 | | x^2-x=7x-16 | | -3(1+7k)=-150 | | y^2+10x-20y+100=0 | | (x-6)(x-6)=-49 | | 3e^4x-10=20 | | 86=7(7p+6)-5 | | t^2+15t=-11 |