If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + x + -60 = 0 Reorder the terms: -60 + x + 2x2 = 0 Solving -60 + x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -30 + 0.5x + x2 = 0 Move the constant term to the right: Add '30' to each side of the equation. -30 + 0.5x + 30 + x2 = 0 + 30 Reorder the terms: -30 + 30 + 0.5x + x2 = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 0.5x + x2 = 0 + 30 0.5x + x2 = 0 + 30 Combine like terms: 0 + 30 = 30 0.5x + x2 = 30 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. 0.5x + 0.25 + x2 = 30 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = 30 + 0.25 Combine like terms: 30 + 0.25 = 30.25 0.25 + 0.5x + x2 = 30.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 30.25 Calculate the square root of the right side: 5.5 Break this problem into two subproblems by setting (x + 0.5) equal to 5.5 and -5.5.Subproblem 1
x + 0.5 = 5.5 Simplifying x + 0.5 = 5.5 Reorder the terms: 0.5 + x = 5.5 Solving 0.5 + x = 5.5 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 = 5.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 5.5 + -0.5 x = 5.5 + -0.5 Combine like terms: 5.5 + -0.5 = 5 x = 5 Simplifying x = 5Subproblem 2
x + 0.5 = -5.5 Simplifying x + 0.5 = -5.5 Reorder the terms: 0.5 + x = -5.5 Solving 0.5 + x = -5.5 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 = -5.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -5.5 + -0.5 x = -5.5 + -0.5 Combine like terms: -5.5 + -0.5 = -6 x = -6 Simplifying x = -6Solution
The solution to the problem is based on the solutions from the subproblems. x = {5, -6}
| -6+8x+7x=-21 | | 7+ln(x+5)=8 | | 8st+12t-2z-3= | | 8p+10p=0 | | 1.3x=17 | | m^2+4m= | | .5x-.67=.167+.5833333333 | | (p^2-6p+4)=0 | | (x+6)(x+6)(x-6)(x-6)= | | 8n-n=15 | | 6x+9+6=-27 | | 5x-1+2x+3=7x+2 | | 5-x/12=1 | | 4-3x=4x | | 5x^2+24x+35=0 | | (x+6)(x+6)(x-6)(x+6)= | | -22a-69=a-506 | | s-276=6s-26 | | 7(4a-b)-3(4b-5a)= | | 10x-13=x+7 | | (2y-3)(-3y^2+8y+3)= | | z-685=-25z-9 | | h=-4.8t^2+30t+3.2 | | -5t^2+4t+1=0 | | -5t^2+4t=1 | | n+4-8n=11 | | 3y+75=y-9 | | -23g-74=g+550 | | 3x^2+25=-20x | | 20t+6=t-260 | | b+123=-8b-30 | | log[3](81)=2x+2 |