If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 1000 = -4t2 + 160t Reorder the terms: 1000 = 160t + -4t2 Solving 1000 = 160t + -4t2 Solving for variable 't'. Reorder the terms: 1000 + -160t + 4t2 = 160t + -160t + -4t2 + 4t2 Combine like terms: 160t + -160t = 0 1000 + -160t + 4t2 = 0 + -4t2 + 4t2 1000 + -160t + 4t2 = -4t2 + 4t2 Combine like terms: -4t2 + 4t2 = 0 1000 + -160t + 4t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(250 + -40t + t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(250 + -40t + t2)' equal to zero and attempt to solve: Simplifying 250 + -40t + t2 = 0 Solving 250 + -40t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-250' to each side of the equation. 250 + -40t + -250 + t2 = 0 + -250 Reorder the terms: 250 + -250 + -40t + t2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + -40t + t2 = 0 + -250 -40t + t2 = 0 + -250 Combine like terms: 0 + -250 = -250 -40t + t2 = -250 The t term is -40t. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40t + 400 + t2 = -250 + 400 Reorder the terms: 400 + -40t + t2 = -250 + 400 Combine like terms: -250 + 400 = 150 400 + -40t + t2 = 150 Factor a perfect square on the left side: (t + -20)(t + -20) = 150 Calculate the square root of the right side: 12.247448714 Break this problem into two subproblems by setting (t + -20) equal to 12.247448714 and -12.247448714.Subproblem 1
t + -20 = 12.247448714 Simplifying t + -20 = 12.247448714 Reorder the terms: -20 + t = 12.247448714 Solving -20 + t = 12.247448714 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + t = 12.247448714 + 20 Combine like terms: -20 + 20 = 0 0 + t = 12.247448714 + 20 t = 12.247448714 + 20 Combine like terms: 12.247448714 + 20 = 32.247448714 t = 32.247448714 Simplifying t = 32.247448714Subproblem 2
t + -20 = -12.247448714 Simplifying t + -20 = -12.247448714 Reorder the terms: -20 + t = -12.247448714 Solving -20 + t = -12.247448714 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + t = -12.247448714 + 20 Combine like terms: -20 + 20 = 0 0 + t = -12.247448714 + 20 t = -12.247448714 + 20 Combine like terms: -12.247448714 + 20 = 7.752551286 t = 7.752551286 Simplifying t = 7.752551286Solution
The solution to the problem is based on the solutions from the subproblems. t = {32.247448714, 7.752551286}Solution
t = {32.247448714, 7.752551286}
| 9x+3x-10=38 | | (10x^(9))/(5x^(15))= | | 5.25*4+2x=32 | | X+55+82+x+x+67=180 | | 25-3x-(x+2)=11x+15-(x-1) | | -25/0 | | 5-4x+4-x=3(x-3)-5(-4x+2) | | 9q+81c= | | 4y-9=2(y+4) | | 5x+10=2x-16 | | -40x+50= | | 3+7x+x=91 | | d=p-0.5t | | 12n+4p= | | Y=x^2-14+24 | | 3c^2+3c-1=0 | | 7x-17+8x-13=180 | | 8x+13=-3x-19 | | 7x-21=2x+3(5x+3) | | -2(5x+2x)+-14x= | | 2x-11-(3x+1)=5x-(4x+2) | | 2(1+6x)=14 | | cos(x-30)=0 | | M+10x=180 | | 20m+15k= | | x-9/3 | | x-/3 | | 5x-20+110=180 | | 4(26)+4=5x-22 | | x^2+3x-1=12 | | F(x)=9x+2mx+m | | 4(4+7x)=14 |