If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 16t2 + 24t + 1 Reorder the terms: 0 = 1 + 24t + 16t2 Solving 0 = 1 + 24t + 16t2 Solving for variable 't'. Combine like terms: 0 + -1 = -1 -1 + -24t + -16t2 = 1 + 24t + 16t2 + -1 + -24t + -16t2 Reorder the terms: -1 + -24t + -16t2 = 1 + -1 + 24t + -24t + 16t2 + -16t2 Combine like terms: 1 + -1 = 0 -1 + -24t + -16t2 = 0 + 24t + -24t + 16t2 + -16t2 -1 + -24t + -16t2 = 24t + -24t + 16t2 + -16t2 Combine like terms: 24t + -24t = 0 -1 + -24t + -16t2 = 0 + 16t2 + -16t2 -1 + -24t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -1 + -24t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 24t + 16t2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 24t + 16t2)' equal to zero and attempt to solve: Simplifying 1 + 24t + 16t2 = 0 Solving 1 + 24t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.0625 + 1.5t + t2 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + 1.5t + -0.0625 + t2 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + 1.5t + t2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + 1.5t + t2 = 0 + -0.0625 1.5t + t2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 1.5t + t2 = -0.0625 The t term is 1.5t. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5t + 0.5625 + t2 = -0.0625 + 0.5625 Reorder the terms: 0.5625 + 1.5t + t2 = -0.0625 + 0.5625 Combine like terms: -0.0625 + 0.5625 = 0.5 0.5625 + 1.5t + t2 = 0.5 Factor a perfect square on the left side: (t + 0.75)(t + 0.75) = 0.5 Calculate the square root of the right side: 0.707106781 Break this problem into two subproblems by setting (t + 0.75) equal to 0.707106781 and -0.707106781.Subproblem 1
t + 0.75 = 0.707106781 Simplifying t + 0.75 = 0.707106781 Reorder the terms: 0.75 + t = 0.707106781 Solving 0.75 + t = 0.707106781 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + t = 0.707106781 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + t = 0.707106781 + -0.75 t = 0.707106781 + -0.75 Combine like terms: 0.707106781 + -0.75 = -0.042893219 t = -0.042893219 Simplifying t = -0.042893219Subproblem 2
t + 0.75 = -0.707106781 Simplifying t + 0.75 = -0.707106781 Reorder the terms: 0.75 + t = -0.707106781 Solving 0.75 + t = -0.707106781 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + t = -0.707106781 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + t = -0.707106781 + -0.75 t = -0.707106781 + -0.75 Combine like terms: -0.707106781 + -0.75 = -1.457106781 t = -1.457106781 Simplifying t = -1.457106781Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.042893219, -1.457106781}Solution
t = {-0.042893219, -1.457106781}
| -7+4=-35 | | 14-7x=40-21x | | 3(9+6x)=9 | | -19x=57 | | N(t)=25t^3-25t^2+4t+2 | | H=16t^2+24t+1 | | -6n+2=-4n-14 | | 161-4x=23x+17 | | 14=2(x+7)-14 | | 2(x^2-3x+48)=0 | | 7x/4-2=10 | | 3vy-7v-9y+21=0 | | -2(6+8x)=100 | | 12-11=x/3 | | 5-10x=36-17x | | -8-6x=6x-140 | | 5x+y-3y+6x= | | 12=3(5-x) | | x*x+8x-9=0 | | -10x+4=5x-41 | | 2(x+1)+3x=17 | | 6x-5(3x+4)=7 | | 22x-(9-3x)=41 | | 5x+8=-6x+74 | | .5x^2-x-8=0 | | -(3x+5)=10 | | 13x+4y=60 | | 3+2+4= | | -3x-6=84+7x | | 5x-10=3x-26 | | -4b-4+2b=10 | | -8t-3t+2=-5-6t |