If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x + 484 + -3x2 = 6 Reorder the terms: 484 + x + -3x2 = 6 Solving 484 + x + -3x2 = 6 Solving for variable 'x'. Reorder the terms: 484 + -6 + x + -3x2 = 6 + -6 Combine like terms: 484 + -6 = 478 478 + x + -3x2 = 6 + -6 Combine like terms: 6 + -6 = 0 478 + x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -159.3333333 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '159.3333333' to each side of the equation. -159.3333333 + -0.3333333333x + 159.3333333 + x2 = 0 + 159.3333333 Reorder the terms: -159.3333333 + 159.3333333 + -0.3333333333x + x2 = 0 + 159.3333333 Combine like terms: -159.3333333 + 159.3333333 = 0.0000000 0.0000000 + -0.3333333333x + x2 = 0 + 159.3333333 -0.3333333333x + x2 = 0 + 159.3333333 Combine like terms: 0 + 159.3333333 = 159.3333333 -0.3333333333x + x2 = 159.3333333 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.3333333333x + 0.25 + x2 = 159.3333333 + 0.25 Reorder the terms: 0.25 + -0.3333333333x + x2 = 159.3333333 + 0.25 Combine like terms: 159.3333333 + 0.25 = 159.5833333 0.25 + -0.3333333333x + x2 = 159.5833333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 159.5833333 Calculate the square root of the right side: 12.632629706 Break this problem into two subproblems by setting (x + 0.5) equal to 12.632629706 and -12.632629706.Subproblem 1
x + 0.5 = 12.632629706 Simplifying x + 0.5 = 12.632629706 Reorder the terms: 0.5 + x = 12.632629706 Solving 0.5 + x = 12.632629706 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 12.632629706 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 12.632629706 + -0.5 x = 12.632629706 + -0.5 Combine like terms: 12.632629706 + -0.5 = 12.132629706 x = 12.132629706 Simplifying x = 12.132629706Subproblem 2
x + 0.5 = -12.632629706 Simplifying x + 0.5 = -12.632629706 Reorder the terms: 0.5 + x = -12.632629706 Solving 0.5 + x = -12.632629706 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -12.632629706 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -12.632629706 + -0.5 x = -12.632629706 + -0.5 Combine like terms: -12.632629706 + -0.5 = -13.132629706 x = -13.132629706 Simplifying x = -13.132629706Solution
The solution to the problem is based on the solutions from the subproblems. x = {12.132629706, -13.132629706}
| 7-5/3x=15 | | r^2-21=-4r | | 4+x-17=22 | | 35x+2=72 | | .25x-.2x=1 | | 10.80/18= | | -9r=54 | | 2x+29+11=8x+30 | | -11y+2=2-11y | | x(2x+1)(2x+1)=0 | | x6=18/9 | | 8.2-x=-12.4 | | 20+8b-17=-5 | | 8.2-x=12.4 | | 5-2(126)= | | 2x-2=-9+7x | | p(8p+7)(8p-7)=0 | | -2(5x-6)-4x=96 | | (8x+1)=21 | | 8x^2-33x-90=0 | | 6(x+2)=28 | | 2(3-x)=3x-4 | | 4x^2=-20x+25 | | (7x+2y)(7x+2y)=0 | | 16z-28=7z+8 | | (2y-3)(2y-3)=0 | | z-(-6)=50 | | (4a+5p)(4a-5p)=0 | | 8x^2-33x+42=0 | | 52=25+x | | 3x+40=29 | | x+50+2x-30+x-20=360 |