If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3x2 + x + 3 = 0 Reorder the terms: 3 + x + -3x2 = 0 Solving 3 + x + -3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -1 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -0.3333333333x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -0.3333333333x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -0.3333333333x + x2 = 0 + 1 -0.3333333333x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -0.3333333333x + x2 = 1 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 = 1 + 0.25 Reorder the terms: 0.25 + -0.3333333333x + x2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + -0.3333333333x + x2 = 1.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (x + 0.5) equal to 1.118033989 and -1.118033989.Subproblem 1
x + 0.5 = 1.118033989 Simplifying x + 0.5 = 1.118033989 Reorder the terms: 0.5 + x = 1.118033989 Solving 0.5 + x = 1.118033989 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 = 1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.118033989 + -0.5 x = 1.118033989 + -0.5 Combine like terms: 1.118033989 + -0.5 = 0.618033989 x = 0.618033989 Simplifying x = 0.618033989Subproblem 2
x + 0.5 = -1.118033989 Simplifying x + 0.5 = -1.118033989 Reorder the terms: 0.5 + x = -1.118033989 Solving 0.5 + x = -1.118033989 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 = -1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.118033989 + -0.5 x = -1.118033989 + -0.5 Combine like terms: -1.118033989 + -0.5 = -1.618033989 x = -1.618033989 Simplifying x = -1.618033989Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.618033989, -1.618033989}
| 7w+w^2=78 | | 2.59c+1.72(8-c)=18.11 | | -2-8k=-50 | | 5x+20=7x+8 | | 7t^2=-4t | | x^2-16x-8=0 | | (2x-5)(2x+5)=5 | | x-3=18x+6 | | 3y+4=25whatisy | | 9j=108 | | cx^2+ax^3-3x^2+2bx-2-2x^3+5x+4d=x^2+x-6 | | 8m+5=6m+17 | | N(25)=350 | | x^2-16x-8=-70 | | 25+g=74 | | Y=-3+y | | 45=19+a | | 0.25x+2x+12=39 | | -46=2-8x | | 0.6=0.4x+x^2 | | -7j=-84 | | K(15)=165 | | 6=2-4m | | 4*5=10x | | x-4=2x+56 | | 4x+11=41-6x | | 6-8x=-2.6 | | x^5-x^2+4=0 | | -20v=100 | | -3(x+2)+2x=16 | | 2w^2=-13w-21 | | -4x-(-16)=240 |