If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 36x + -160 = 0 Reorder the terms: -160 + 36x + 4x2 = 0 Solving -160 + 36x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-40 + 9x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-40 + 9x + x2)' equal to zero and attempt to solve: Simplifying -40 + 9x + x2 = 0 Solving -40 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '40' to each side of the equation. -40 + 9x + 40 + x2 = 0 + 40 Reorder the terms: -40 + 40 + 9x + x2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 9x + x2 = 0 + 40 9x + x2 = 0 + 40 Combine like terms: 0 + 40 = 40 9x + x2 = 40 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = 40 + 20.25 Reorder the terms: 20.25 + 9x + x2 = 40 + 20.25 Combine like terms: 40 + 20.25 = 60.25 20.25 + 9x + x2 = 60.25 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = 60.25 Calculate the square root of the right side: 7.762087348 Break this problem into two subproblems by setting (x + 4.5) equal to 7.762087348 and -7.762087348.Subproblem 1
x + 4.5 = 7.762087348 Simplifying x + 4.5 = 7.762087348 Reorder the terms: 4.5 + x = 7.762087348 Solving 4.5 + x = 7.762087348 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = 7.762087348 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 7.762087348 + -4.5 x = 7.762087348 + -4.5 Combine like terms: 7.762087348 + -4.5 = 3.262087348 x = 3.262087348 Simplifying x = 3.262087348Subproblem 2
x + 4.5 = -7.762087348 Simplifying x + 4.5 = -7.762087348 Reorder the terms: 4.5 + x = -7.762087348 Solving 4.5 + x = -7.762087348 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = -7.762087348 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -7.762087348 + -4.5 x = -7.762087348 + -4.5 Combine like terms: -7.762087348 + -4.5 = -12.262087348 x = -12.262087348 Simplifying x = -12.262087348Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.262087348, -12.262087348}Solution
x = {3.262087348, -12.262087348}
| 4x^2+36-160=0 | | 3x+9=103 | | 0.50(x-500000)=2000000 | | =-10-6*Q+5.5Q^2-2*Q^3+0.25*Q^4 | | 2-x=-5x-3 | | 2(3x+4)=5x-10+7x | | 0.50(x-500000)=750000 | | -3/7x-9/8 | | 10+3x=2(3x+4x)+5 | | 4n-1=15 | | -11r-3=-24 | | 5n-2=13 | | 8x^2-33x+12=0 | | 5(x-4)=9x+8 | | 3x+3=2x-13 | | 100=5(4x-9) | | 5a=12+a | | 3y-2y=12-4y | | 4x-7=x-5 | | 8+3a=4-a | | -2/3y=14 | | 5j+5j=20 | | xx+2=5 | | 10=20 | | 9x+10=127 | | 5j=5 | | 9x+10=100 | | 5x-4=4x-5 | | x.x+12=0 | | -8+64p^2=16p | | -8+64p^2=16q | | 18p^2+84p+98=0 |