If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 51x2 + -500x = 1000 Reorder the terms: -500x + 51x2 = 1000 Solving -500x + 51x2 = 1000 Solving for variable 'x'. Reorder the terms: -1000 + -500x + 51x2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -1000 + -500x + 51x2 = 0 Begin completing the square. Divide all terms by 51 the coefficient of the squared term: Divide each side by '51'. -19.60784314 + -9.803921569x + x2 = 0 Move the constant term to the right: Add '19.60784314' to each side of the equation. -19.60784314 + -9.803921569x + 19.60784314 + x2 = 0 + 19.60784314 Reorder the terms: -19.60784314 + 19.60784314 + -9.803921569x + x2 = 0 + 19.60784314 Combine like terms: -19.60784314 + 19.60784314 = 0.00000000 0.00000000 + -9.803921569x + x2 = 0 + 19.60784314 -9.803921569x + x2 = 0 + 19.60784314 Combine like terms: 0 + 19.60784314 = 19.60784314 -9.803921569x + x2 = 19.60784314 The x term is -9.803921569x. Take half its coefficient (-4.901960785). Square it (24.02921954) and add it to both sides. Add '24.02921954' to each side of the equation. -9.803921569x + 24.02921954 + x2 = 19.60784314 + 24.02921954 Reorder the terms: 24.02921954 + -9.803921569x + x2 = 19.60784314 + 24.02921954 Combine like terms: 19.60784314 + 24.02921954 = 43.63706268 24.02921954 + -9.803921569x + x2 = 43.63706268 Factor a perfect square on the left side: (x + -4.901960785)(x + -4.901960785) = 43.63706268 Calculate the square root of the right side: 6.605835502 Break this problem into two subproblems by setting (x + -4.901960785) equal to 6.605835502 and -6.605835502.Subproblem 1
x + -4.901960785 = 6.605835502 Simplifying x + -4.901960785 = 6.605835502 Reorder the terms: -4.901960785 + x = 6.605835502 Solving -4.901960785 + x = 6.605835502 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.901960785' to each side of the equation. -4.901960785 + 4.901960785 + x = 6.605835502 + 4.901960785 Combine like terms: -4.901960785 + 4.901960785 = 0.000000000 0.000000000 + x = 6.605835502 + 4.901960785 x = 6.605835502 + 4.901960785 Combine like terms: 6.605835502 + 4.901960785 = 11.507796287 x = 11.507796287 Simplifying x = 11.507796287Subproblem 2
x + -4.901960785 = -6.605835502 Simplifying x + -4.901960785 = -6.605835502 Reorder the terms: -4.901960785 + x = -6.605835502 Solving -4.901960785 + x = -6.605835502 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.901960785' to each side of the equation. -4.901960785 + 4.901960785 + x = -6.605835502 + 4.901960785 Combine like terms: -4.901960785 + 4.901960785 = 0.000000000 0.000000000 + x = -6.605835502 + 4.901960785 x = -6.605835502 + 4.901960785 Combine like terms: -6.605835502 + 4.901960785 = -1.703874717 x = -1.703874717 Simplifying x = -1.703874717Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.507796287, -1.703874717}
| X+2=6.3 | | 5=x(1+10x) | | -79(-18s-20)=-14s | | -5x-6-12-8x= | | 3x^2+32x+80=0 | | 18x^3y^2-6y^3=-7 | | 7w-18=5w-5 | | 10=r+1 | | 3(2x+1)=4x+12 | | -5(z+4)=-4z-3 | | -5.4c-13.34=-0.8c | | T-16=-4 | | 5-4[2-(4x-3)]= | | 6(n-1)=10 | | -5(z+4)=-4x-3 | | -3(x+7)=-6 | | .6k+.7=.73k-.4 | | 0.357+0.25=5 | | 6.4v+19.76=-8.8v | | 2(8x-10)+2(6x)=y | | 3n-22=(-5n+7)-3 | | 4(2+4y)=20y+7-4y | | 7t-23=7+2t | | 7a+16a-13a= | | 8=-3x-4 | | 13x+0.59y-5x+1.29y= | | E=IR+Ir | | 81=27r | | 4n+8=9n+7 | | x-0.6=8.69 | | 17u=15.8u-18.72 | | 6*(-3)+14=-7-(-3) |