If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + -36x + 108 = x Reorder the terms: 108 + -36x + 3x2 = x Solving 108 + -36x + 3x2 = x Solving for variable 'x'. Reorder the terms: 108 + -36x + -1x + 3x2 = x + -1x Combine like terms: -36x + -1x = -37x 108 + -37x + 3x2 = x + -1x Combine like terms: x + -1x = 0 108 + -37x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 36 + -12.33333333x + x2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -12.33333333x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -12.33333333x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -12.33333333x + x2 = 0 + -36 -12.33333333x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -12.33333333x + x2 = -36 The x term is -12.33333333x. Take half its coefficient (-6.166666665). Square it (38.02777776) and add it to both sides. Add '38.02777776' to each side of the equation. -12.33333333x + 38.02777776 + x2 = -36 + 38.02777776 Reorder the terms: 38.02777776 + -12.33333333x + x2 = -36 + 38.02777776 Combine like terms: -36 + 38.02777776 = 2.02777776 38.02777776 + -12.33333333x + x2 = 2.02777776 Factor a perfect square on the left side: (x + -6.166666665)(x + -6.166666665) = 2.02777776 Calculate the square root of the right side: 1.424000618 Break this problem into two subproblems by setting (x + -6.166666665) equal to 1.424000618 and -1.424000618.Subproblem 1
x + -6.166666665 = 1.424000618 Simplifying x + -6.166666665 = 1.424000618 Reorder the terms: -6.166666665 + x = 1.424000618 Solving -6.166666665 + x = 1.424000618 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.166666665' to each side of the equation. -6.166666665 + 6.166666665 + x = 1.424000618 + 6.166666665 Combine like terms: -6.166666665 + 6.166666665 = 0.000000000 0.000000000 + x = 1.424000618 + 6.166666665 x = 1.424000618 + 6.166666665 Combine like terms: 1.424000618 + 6.166666665 = 7.590667283 x = 7.590667283 Simplifying x = 7.590667283Subproblem 2
x + -6.166666665 = -1.424000618 Simplifying x + -6.166666665 = -1.424000618 Reorder the terms: -6.166666665 + x = -1.424000618 Solving -6.166666665 + x = -1.424000618 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.166666665' to each side of the equation. -6.166666665 + 6.166666665 + x = -1.424000618 + 6.166666665 Combine like terms: -6.166666665 + 6.166666665 = 0.000000000 0.000000000 + x = -1.424000618 + 6.166666665 x = -1.424000618 + 6.166666665 Combine like terms: -1.424000618 + 6.166666665 = 4.742666047 x = 4.742666047 Simplifying x = 4.742666047Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.590667283, 4.742666047}
| 2(2w+5)(w)=259 | | x-v/t=a | | 4n^2-21n-8=0 | | bx+a=nc | | X=5.4+3x | | 3(3+x)+2(3+x)=180 | | 4x-2x-10=-9+4x+7 | | 4(n+2)(n+5)=280 | | 7n+19=40 | | 15+2d=33 | | r=4c-d/c | | 1+3.1a-6.1a=-0.5 | | mx-w=z | | 2lnx=ln(6-x) | | 81y^2+49=0 | | r=4c-d | | 3-1x=-10x+21 | | 2(3+x)=180 | | 12-8x=42-2x | | 3.5x+0.4=8.5x+5.4 | | 1/13n=3/8 | | 5b+11=29 | | x+35+7x-6+x= | | 8x^2+26x= | | 3.9n-1.9-9.9=12.38 | | 3(3+x)=180 | | 2(t-9)=-16 | | -3[x]+10=-20 | | 0.045x+0.02=0.075x-0.01 | | -3/5a-4=-6 | | 35+x=41 | | 25x^2+30x+9-y^2=0 |