If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 44x + -120 = 0 Reorder the terms: -120 + 44x + 4x2 = 0 Solving -120 + 44x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-30 + 11x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-30 + 11x + x2)' equal to zero and attempt to solve: Simplifying -30 + 11x + x2 = 0 Solving -30 + 11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '30' to each side of the equation. -30 + 11x + 30 + x2 = 0 + 30 Reorder the terms: -30 + 30 + 11x + x2 = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 11x + x2 = 0 + 30 11x + x2 = 0 + 30 Combine like terms: 0 + 30 = 30 11x + x2 = 30 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = 30 + 30.25 Reorder the terms: 30.25 + 11x + x2 = 30 + 30.25 Combine like terms: 30 + 30.25 = 60.25 30.25 + 11x + x2 = 60.25 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = 60.25 Calculate the square root of the right side: 7.762087348 Break this problem into two subproblems by setting (x + 5.5) equal to 7.762087348 and -7.762087348.Subproblem 1
x + 5.5 = 7.762087348 Simplifying x + 5.5 = 7.762087348 Reorder the terms: 5.5 + x = 7.762087348 Solving 5.5 + x = 7.762087348 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = 7.762087348 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = 7.762087348 + -5.5 x = 7.762087348 + -5.5 Combine like terms: 7.762087348 + -5.5 = 2.262087348 x = 2.262087348 Simplifying x = 2.262087348Subproblem 2
x + 5.5 = -7.762087348 Simplifying x + 5.5 = -7.762087348 Reorder the terms: 5.5 + x = -7.762087348 Solving 5.5 + x = -7.762087348 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = -7.762087348 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = -7.762087348 + -5.5 x = -7.762087348 + -5.5 Combine like terms: -7.762087348 + -5.5 = -13.262087348 x = -13.262087348 Simplifying x = -13.262087348Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.262087348, -13.262087348}Solution
x = {2.262087348, -13.262087348}
| 8-7x-x=16 | | 5xy^4-7xy^2= | | d-(240-a)+(500-d)=455 | | y-6x=7 | | -27=-7+3x-3 | | 5x+3=25+9x | | (3x-1)(3x+1)=5 | | 266-5x=40x+21 | | -18=3x+x-10 | | -3x-5+5x=13 | | 0.85=ln(y) | | 13-10x=93-2x | | -2=5/4-r/3 | | 5x-8+4x=46 | | X-6y=6 | | -7=p+2/2 | | y^2+13y+30=0 | | 7/3+3 | | 7x+9-4x=-27 | | 5/3+5 | | 3x^2+y^2-2xy-24=0 | | 15y/25y^2 | | (2x-3)(2x+3)=7 | | 2z+3(Z-7)=9 | | z^2+121=0 | | 2x=3-22 | | -10=4(x+7) | | 8b+8(-2b-8)=16+2b | | 4x+3=3x+1 | | (4x-5)-2(-8x-3)= | | 9=-8(x+5) | | d-(525+-1d)+(500+-1d)=455 |