If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 2000 + -120.36x + -4.9x2 Solving 0 = 2000 + -120.36x + -4.9x2 Solving for variable 'x'. Combine like terms: 0 + -2000 = -2000 -2000 + 120.36x + 4.9x2 = 2000 + -120.36x + -4.9x2 + -2000 + 120.36x + 4.9x2 Reorder the terms: -2000 + 120.36x + 4.9x2 = 2000 + -2000 + -120.36x + 120.36x + -4.9x2 + 4.9x2 Combine like terms: 2000 + -2000 = 0 -2000 + 120.36x + 4.9x2 = 0 + -120.36x + 120.36x + -4.9x2 + 4.9x2 -2000 + 120.36x + 4.9x2 = -120.36x + 120.36x + -4.9x2 + 4.9x2 Combine like terms: -120.36x + 120.36x = 0.00 -2000 + 120.36x + 4.9x2 = 0.00 + -4.9x2 + 4.9x2 -2000 + 120.36x + 4.9x2 = -4.9x2 + 4.9x2 Combine like terms: -4.9x2 + 4.9x2 = 0.0 -2000 + 120.36x + 4.9x2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. -408.1632653 + 24.56326531x + x2 = 0 Move the constant term to the right: Add '408.1632653' to each side of the equation. -408.1632653 + 24.56326531x + 408.1632653 + x2 = 0 + 408.1632653 Reorder the terms: -408.1632653 + 408.1632653 + 24.56326531x + x2 = 0 + 408.1632653 Combine like terms: -408.1632653 + 408.1632653 = 0.0000000 0.0000000 + 24.56326531x + x2 = 0 + 408.1632653 24.56326531x + x2 = 0 + 408.1632653 Combine like terms: 0 + 408.1632653 = 408.1632653 24.56326531x + x2 = 408.1632653 The x term is 24.56326531x. Take half its coefficient (12.28163266). Square it (150.8385008) and add it to both sides. Add '150.8385008' to each side of the equation. 24.56326531x + 150.8385008 + x2 = 408.1632653 + 150.8385008 Reorder the terms: 150.8385008 + 24.56326531x + x2 = 408.1632653 + 150.8385008 Combine like terms: 408.1632653 + 150.8385008 = 559.0017661 150.8385008 + 24.56326531x + x2 = 559.0017661 Factor a perfect square on the left side: (x + 12.28163266)(x + 12.28163266) = 559.0017661 Calculate the square root of the right side: 23.643218184 Break this problem into two subproblems by setting (x + 12.28163266) equal to 23.643218184 and -23.643218184.Subproblem 1
x + 12.28163266 = 23.643218184 Simplifying x + 12.28163266 = 23.643218184 Reorder the terms: 12.28163266 + x = 23.643218184 Solving 12.28163266 + x = 23.643218184 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.28163266' to each side of the equation. 12.28163266 + -12.28163266 + x = 23.643218184 + -12.28163266 Combine like terms: 12.28163266 + -12.28163266 = 0.00000000 0.00000000 + x = 23.643218184 + -12.28163266 x = 23.643218184 + -12.28163266 Combine like terms: 23.643218184 + -12.28163266 = 11.361585524 x = 11.361585524 Simplifying x = 11.361585524Subproblem 2
x + 12.28163266 = -23.643218184 Simplifying x + 12.28163266 = -23.643218184 Reorder the terms: 12.28163266 + x = -23.643218184 Solving 12.28163266 + x = -23.643218184 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.28163266' to each side of the equation. 12.28163266 + -12.28163266 + x = -23.643218184 + -12.28163266 Combine like terms: 12.28163266 + -12.28163266 = 0.00000000 0.00000000 + x = -23.643218184 + -12.28163266 x = -23.643218184 + -12.28163266 Combine like terms: -23.643218184 + -12.28163266 = -35.924850844 x = -35.924850844 Simplifying x = -35.924850844Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.361585524, -35.924850844}
| 8+2y=4y | | 10-7y+7y=4 | | x=1-1(-6) | | 1-1y-y=13 | | cx^2=d | | 14,101,605.00/2000 | | 3cosx+3=2sin^2x | | 4x^2-11=(x+8)(x+8) | | 33=-u+277 | | 80-y=160 | | -28+5y+3y=20 | | (4x^2/5y)*12y^4/24x^3 | | 39=0.1(x^2) | | 2(x^3-59)+2(5x-15)=25 | | 224-w=119 | | 7(n-3)=-21 | | 1/3d=8=1/6d-2 | | 3y(2y-5)=75 | | 7x^6*2u^8x^7*2u=0 | | -6y+21=4y-9 | | log(7k+5r^2)= | | 4x-1+7=5x+3 | | b+573+b=130973 | | 2.9x-9.97=8.3 | | 6x+34=90 | | y^2+19+90=0 | | (5x/x-2)=1.7 | | 9u=2u+56 | | 4(1.5-0.25b)=4-b | | x+2=-14x | | 3y(2x-5)=75 | | -lny=lnx+c |