If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 496.40(x) = 0.1x2 + 4x + 200 Reorder the terms: 496.40x = 200 + 4x + 0.1x2 Solving 496.40x = 200 + 4x + 0.1x2 Solving for variable 'x'. Reorder the terms: -200 + 496.40x + -4x + -0.1x2 = 200 + 4x + 0.1x2 + -200 + -4x + -0.1x2 Combine like terms: 496.40x + -4x = 492.4x -200 + 492.4x + -0.1x2 = 200 + 4x + 0.1x2 + -200 + -4x + -0.1x2 Reorder the terms: -200 + 492.4x + -0.1x2 = 200 + -200 + 4x + -4x + 0.1x2 + -0.1x2 Combine like terms: 200 + -200 = 0 -200 + 492.4x + -0.1x2 = 0 + 4x + -4x + 0.1x2 + -0.1x2 -200 + 492.4x + -0.1x2 = 4x + -4x + 0.1x2 + -0.1x2 Combine like terms: 4x + -4x = 0 -200 + 492.4x + -0.1x2 = 0 + 0.1x2 + -0.1x2 -200 + 492.4x + -0.1x2 = 0.1x2 + -0.1x2 Combine like terms: 0.1x2 + -0.1x2 = 0.0 -200 + 492.4x + -0.1x2 = 0.0 Begin completing the square. Divide all terms by -0.1 the coefficient of the squared term: Divide each side by '-0.1'. 2000 + -4924x + x2 = 0 Move the constant term to the right: Add '-2000' to each side of the equation. 2000 + -4924x + -2000 + x2 = 0 + -2000 Reorder the terms: 2000 + -2000 + -4924x + x2 = 0 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -4924x + x2 = 0 + -2000 -4924x + x2 = 0 + -2000 Combine like terms: 0 + -2000 = -2000 -4924x + x2 = -2000 The x term is -4924x. Take half its coefficient (-2462). Square it (6061444) and add it to both sides. Add '6061444' to each side of the equation. -4924x + 6061444 + x2 = -2000 + 6061444 Reorder the terms: 6061444 + -4924x + x2 = -2000 + 6061444 Combine like terms: -2000 + 6061444 = 6059444 6061444 + -4924x + x2 = 6059444 Factor a perfect square on the left side: (x + -2462)(x + -2462) = 6059444 Calculate the square root of the right side: 2461.593792647 Break this problem into two subproblems by setting (x + -2462) equal to 2461.593792647 and -2461.593792647.Subproblem 1
x + -2462 = 2461.593792647 Simplifying x + -2462 = 2461.593792647 Reorder the terms: -2462 + x = 2461.593792647 Solving -2462 + x = 2461.593792647 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2462' to each side of the equation. -2462 + 2462 + x = 2461.593792647 + 2462 Combine like terms: -2462 + 2462 = 0 0 + x = 2461.593792647 + 2462 x = 2461.593792647 + 2462 Combine like terms: 2461.593792647 + 2462 = 4923.593792647 x = 4923.593792647 Simplifying x = 4923.593792647Subproblem 2
x + -2462 = -2461.593792647 Simplifying x + -2462 = -2461.593792647 Reorder the terms: -2462 + x = -2461.593792647 Solving -2462 + x = -2461.593792647 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2462' to each side of the equation. -2462 + 2462 + x = -2461.593792647 + 2462 Combine like terms: -2462 + 2462 = 0 0 + x = -2461.593792647 + 2462 x = -2461.593792647 + 2462 Combine like terms: -2461.593792647 + 2462 = 0.406207353 x = 0.406207353 Simplifying x = 0.406207353Solution
The solution to the problem is based on the solutions from the subproblems. x = {4923.593792647, 0.406207353}
| 64/12.6=a | | 4996.40(x)=0.1x^2+4x+200 | | 7x-3=3x-8-4(7x-9)/2 | | 3(x+2)-1=6x-3(-2+x) | | 7p+2t=sn | | 10f+3=26+6f | | 1/7-3x-6=5(6x-2)+5x/4 | | X/3-6=x/7-2 | | -5x-27=3x+13 | | (-8xy)y^3/4x^5y^4=-2/x^4 | | 2ax-xy+5x-2y+2=0 | | 9x+y=49 | | (4^n)/(8^2)/3n(16^1/4n) | | 2(9x-4)-6x-2x/3=2(3x-4) | | -9x^2+5x+3=0 | | 2(9x+4)-6x-2x/3=2(3x-4) | | 2x-12=x+14 | | 2x+(x+6)=10 | | 4x-12=x+14 | | 6x-9x-11=-3x+7-11 | | (10x-35)/10 | | x^5=14 | | -66/15-y=-4/5 | | 3t^2=9t-6 | | 9-3x=6+2x | | (5x-2)(6x-3)=x | | 9+5x=6+3x | | 4v^2=-7v-3 | | 6p+5=6p+5 | | 3q+6=3q+11 | | 1+4(x-7)=-14 | | 8(x+2)+5=4x+4(4+x) |