If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6400(t) = -16t2 + 6400 Reorder the terms: 6400t = 6400 + -16t2 Solving 6400t = 6400 + -16t2 Solving for variable 't'. Reorder the terms: -6400 + 6400t + 16t2 = 6400 + -16t2 + -6400 + 16t2 Reorder the terms: -6400 + 6400t + 16t2 = 6400 + -6400 + -16t2 + 16t2 Combine like terms: 6400 + -6400 = 0 -6400 + 6400t + 16t2 = 0 + -16t2 + 16t2 -6400 + 6400t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -6400 + 6400t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-400 + 400t + t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-400 + 400t + t2)' equal to zero and attempt to solve: Simplifying -400 + 400t + t2 = 0 Solving -400 + 400t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '400' to each side of the equation. -400 + 400t + 400 + t2 = 0 + 400 Reorder the terms: -400 + 400 + 400t + t2 = 0 + 400 Combine like terms: -400 + 400 = 0 0 + 400t + t2 = 0 + 400 400t + t2 = 0 + 400 Combine like terms: 0 + 400 = 400 400t + t2 = 400 The t term is 400t. Take half its coefficient (200). Square it (40000) and add it to both sides. Add '40000' to each side of the equation. 400t + 40000 + t2 = 400 + 40000 Reorder the terms: 40000 + 400t + t2 = 400 + 40000 Combine like terms: 400 + 40000 = 40400 40000 + 400t + t2 = 40400 Factor a perfect square on the left side: (t + 200)(t + 200) = 40400 Calculate the square root of the right side: 200.997512422 Break this problem into two subproblems by setting (t + 200) equal to 200.997512422 and -200.997512422.Subproblem 1
t + 200 = 200.997512422 Simplifying t + 200 = 200.997512422 Reorder the terms: 200 + t = 200.997512422 Solving 200 + t = 200.997512422 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + t = 200.997512422 + -200 Combine like terms: 200 + -200 = 0 0 + t = 200.997512422 + -200 t = 200.997512422 + -200 Combine like terms: 200.997512422 + -200 = 0.997512422 t = 0.997512422 Simplifying t = 0.997512422Subproblem 2
t + 200 = -200.997512422 Simplifying t + 200 = -200.997512422 Reorder the terms: 200 + t = -200.997512422 Solving 200 + t = -200.997512422 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + t = -200.997512422 + -200 Combine like terms: 200 + -200 = 0 0 + t = -200.997512422 + -200 t = -200.997512422 + -200 Combine like terms: -200.997512422 + -200 = -400.997512422 t = -400.997512422 Simplifying t = -400.997512422Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.997512422, -400.997512422}Solution
t = {0.997512422, -400.997512422}
| 4X+10=5X+12 | | 3x+24=78 | | 8x+7=3(2x+1) | | 2a^2+24a=0 | | 70a-39a=62 | | 124300=a+4b | | 3(x-2)+1-3=-5 | | 12(x-2)=-4(-22) | | 5800*3.25=a | | 3+2a=27.68 | | 198100*.147=a | | 12/5*x-2x=3/10 | | .098*198100=a | | 8/3x+3/2+2/3=23/6 | | (x+5)(x+5)+3=(x-2)(x-2) | | 1981*a=1727 | | X^3+2x^2+5x+3=0 | | 198100*a=172700 | | 172700*a=198100 | | f(x)=6x^5-7x^4-44x^3+2x^2+78x+45 | | 3n-2n^4+n+7n^4= | | 5y-2x=6 | | (x-10)*x=6375 | | y=30-1.6x | | r-10/3+2/3=19/4 | | X^3-.3664x^2+.03802x-.001210=0 | | 5x+5x=100 | | 1.21*a=1.34 | | 5x+5x=24 | | 2x+5x=24 | | (x-10)*x=9000 | | 1.34*a=1.21 |