If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.1x2 + 4x + -10 = 0 Reorder the terms: -10 + 4x + -0.1x2 = 0 Solving -10 + 4x + -0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.1 the coefficient of the squared term: Divide each side by '-0.1'. 100 + -40x + x2 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + -40x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -40x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -40x + x2 = 0 + -100 -40x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -40x + x2 = -100 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -100 + 400 Reorder the terms: 400 + -40x + x2 = -100 + 400 Combine like terms: -100 + 400 = 300 400 + -40x + x2 = 300 Factor a perfect square on the left side: (x + -20)(x + -20) = 300 Calculate the square root of the right side: 17.320508076 Break this problem into two subproblems by setting (x + -20) equal to 17.320508076 and -17.320508076.Subproblem 1
x + -20 = 17.320508076 Simplifying x + -20 = 17.320508076 Reorder the terms: -20 + x = 17.320508076 Solving -20 + x = 17.320508076 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 17.320508076 + 20 Combine like terms: -20 + 20 = 0 0 + x = 17.320508076 + 20 x = 17.320508076 + 20 Combine like terms: 17.320508076 + 20 = 37.320508076 x = 37.320508076 Simplifying x = 37.320508076Subproblem 2
x + -20 = -17.320508076 Simplifying x + -20 = -17.320508076 Reorder the terms: -20 + x = -17.320508076 Solving -20 + x = -17.320508076 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = -17.320508076 + 20 Combine like terms: -20 + 20 = 0 0 + x = -17.320508076 + 20 x = -17.320508076 + 20 Combine like terms: -17.320508076 + 20 = 2.679491924 x = 2.679491924 Simplifying x = 2.679491924Solution
The solution to the problem is based on the solutions from the subproblems. x = {37.320508076, 2.679491924}
| =at^2-4a+2t^2-8 | | 5x-46=46+x | | 8x-56= | | x+3(-8x-37)=4 | | 7ln(x+9)-9lnx=0 | | 3y-5x=27 | | XSQUARED-5+6=0 | | 1.7n=0.22 | | 8x=3y+13 | | 60+120-x+10+x=180 | | 2x-.35=.20 | | 3x^3+2x^2=512 | | 13*3.14= | | log(x)=.61 | | 5(m+n)-(3m+2n)= | | x^2-21x-36=0 | | 5(2+t)=2(t+1) | | 25xsquared-2x-1=0 | | b-8+2b=14 | | 8h-11=61 | | 3(5x-2)-6x=(3x+2) | | -5(3r+6)=-30 | | 24x+20=8x | | 5.8=1.8-0.6y | | 6x-37=4x-13 | | 105+195x+18+15x=963 | | 8m-18=46 | | (0.5x+2x)+(x+45)=150 | | 174-6x=21x+24 | | 42x+3=8x+1 | | 5.1=1.7-0.5y | | 2s+4=4s-8 |