If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2000 = 5t2 + 32t + 1000 Reorder the terms: 2000 = 1000 + 32t + 5t2 Solving 2000 = 1000 + 32t + 5t2 Solving for variable 't'. Combine like terms: 2000 + -1000 = 1000 1000 + -32t + -5t2 = 1000 + 32t + 5t2 + -1000 + -32t + -5t2 Reorder the terms: 1000 + -32t + -5t2 = 1000 + -1000 + 32t + -32t + 5t2 + -5t2 Combine like terms: 1000 + -1000 = 0 1000 + -32t + -5t2 = 0 + 32t + -32t + 5t2 + -5t2 1000 + -32t + -5t2 = 32t + -32t + 5t2 + -5t2 Combine like terms: 32t + -32t = 0 1000 + -32t + -5t2 = 0 + 5t2 + -5t2 1000 + -32t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 1000 + -32t + -5t2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. -200 + 6.4t + t2 = 0 Move the constant term to the right: Add '200' to each side of the equation. -200 + 6.4t + 200 + t2 = 0 + 200 Reorder the terms: -200 + 200 + 6.4t + t2 = 0 + 200 Combine like terms: -200 + 200 = 0 0 + 6.4t + t2 = 0 + 200 6.4t + t2 = 0 + 200 Combine like terms: 0 + 200 = 200 6.4t + t2 = 200 The t term is 6.4t. Take half its coefficient (3.2). Square it (10.24) and add it to both sides. Add '10.24' to each side of the equation. 6.4t + 10.24 + t2 = 200 + 10.24 Reorder the terms: 10.24 + 6.4t + t2 = 200 + 10.24 Combine like terms: 200 + 10.24 = 210.24 10.24 + 6.4t + t2 = 210.24 Factor a perfect square on the left side: (t + 3.2)(t + 3.2) = 210.24 Calculate the square root of the right side: 14.499655168 Break this problem into two subproblems by setting (t + 3.2) equal to 14.499655168 and -14.499655168.Subproblem 1
t + 3.2 = 14.499655168 Simplifying t + 3.2 = 14.499655168 Reorder the terms: 3.2 + t = 14.499655168 Solving 3.2 + t = 14.499655168 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + t = 14.499655168 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + t = 14.499655168 + -3.2 t = 14.499655168 + -3.2 Combine like terms: 14.499655168 + -3.2 = 11.299655168 t = 11.299655168 Simplifying t = 11.299655168Subproblem 2
t + 3.2 = -14.499655168 Simplifying t + 3.2 = -14.499655168 Reorder the terms: 3.2 + t = -14.499655168 Solving 3.2 + t = -14.499655168 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + t = -14.499655168 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + t = -14.499655168 + -3.2 t = -14.499655168 + -3.2 Combine like terms: -14.499655168 + -3.2 = -17.699655168 t = -17.699655168 Simplifying t = -17.699655168Solution
The solution to the problem is based on the solutions from the subproblems. t = {11.299655168, -17.699655168}
| X+(-2x)=-2 | | 81s^2+90s=-25 | | u^2+4u+4=2u^2-2u+13 | | y-7=4(x-3) | | u^2-6u+9=o | | -2p+2+3p=11 | | c-3=-4+3 | | c-3=-1+4 | | 4w-3w+4=-1+3 | | 0.66k+8=18 | | 7.8= | | y-12=3(x-5) | | 5w^2+17w+14=0 | | y=-1(-6)-4 | | 9(3x+1)=2x-6x | | 9m^2+30m-24=0 | | 8c-3c= | | 6c^2-19c+15=0 | | x^2-12x=35 | | 12m^2+13m+3=0 | | a(q-10)= | | 15m^2+26m+7=0 | | 4a-3=a/2 | | 320=lw(4) | | 320=x+2 | | 3a-[2a+3(1-a)]=a*2 | | 320=(l)(w)(h) | | 3a-[2a+3(1-a)]=2 | | 15s^3+25s^2-60s=0 | | -9(c-m)= | | (4+7)+6= | | 6x-16=2x+6 |