If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.1x2 + 50x = 4000 Reorder the terms: 50x + -0.1x2 = 4000 Solving 50x + -0.1x2 = 4000 Solving for variable 'x'. Reorder the terms: -4000 + 50x + -0.1x2 = 4000 + -4000 Combine like terms: 4000 + -4000 = 0 -4000 + 50x + -0.1x2 = 0 Begin completing the square. Divide all terms by -0.1 the coefficient of the squared term: Divide each side by '-0.1'. 40000 + -500x + x2 = 0 Move the constant term to the right: Add '-40000' to each side of the equation. 40000 + -500x + -40000 + x2 = 0 + -40000 Reorder the terms: 40000 + -40000 + -500x + x2 = 0 + -40000 Combine like terms: 40000 + -40000 = 0 0 + -500x + x2 = 0 + -40000 -500x + x2 = 0 + -40000 Combine like terms: 0 + -40000 = -40000 -500x + x2 = -40000 The x term is -500x. Take half its coefficient (-250). Square it (62500) and add it to both sides. Add '62500' to each side of the equation. -500x + 62500 + x2 = -40000 + 62500 Reorder the terms: 62500 + -500x + x2 = -40000 + 62500 Combine like terms: -40000 + 62500 = 22500 62500 + -500x + x2 = 22500 Factor a perfect square on the left side: (x + -250)(x + -250) = 22500 Calculate the square root of the right side: 150 Break this problem into two subproblems by setting (x + -250) equal to 150 and -150.Subproblem 1
x + -250 = 150 Simplifying x + -250 = 150 Reorder the terms: -250 + x = 150 Solving -250 + x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + x = 150 + 250 Combine like terms: -250 + 250 = 0 0 + x = 150 + 250 x = 150 + 250 Combine like terms: 150 + 250 = 400 x = 400 Simplifying x = 400Subproblem 2
x + -250 = -150 Simplifying x + -250 = -150 Reorder the terms: -250 + x = -150 Solving -250 + x = -150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + x = -150 + 250 Combine like terms: -250 + 250 = 0 0 + x = -150 + 250 x = -150 + 250 Combine like terms: -150 + 250 = 100 x = 100 Simplifying x = 100Solution
The solution to the problem is based on the solutions from the subproblems. x = {400, 100}
| h=-4.9t^2+4t+8 | | -0.1x^2+50x=40004 | | 4(x+1)+1=7x-3(x+3) | | (5-9i)(6+7i)= | | -3(x-3)=-3+3x | | .4x*1.9x= | | 2w+11-5=42 | | 5y-3=2(x+4) | | 6x-(13-2x)= | | 6+5t-2=9t+10-3t | | (6+3i)+(8-5i)= | | log(4x-8)=2 | | 0.173+g=0.0703 | | 1/3(2/3) | | 4=m(7)-10 | | x+10(3)=x(2)x(2)+10 | | X^2/8=sqrtx | | 9x-42=38 | | 6(2x/3-8/9)=12 | | 1x=1x+6.4 | | 90+5x+4x=180 | | 4z+4-2z=28-2z | | 9x+3=14x-27 | | 52/-7=0 | | X+y=90y-10 | | 2(36)-108=180 | | 4m+21=77 | | 2(36)-108= | | 5(-1+x)+3x=4x-25 | | 20v+60-4=24v+4-11 | | -5+12v=11v | | 7+6t=43 |