If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + x2 + -31x + 10 = 0 Reorder the terms: 10 + -31x + 6x2 + x2 = 0 Combine like terms: 6x2 + x2 = 7x2 10 + -31x + 7x2 = 0 Solving 10 + -31x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.428571429 + -4.428571429x + x2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -4.428571429x + -1.428571429 + x2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -4.428571429x + x2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -4.428571429x + x2 = 0 + -1.428571429 -4.428571429x + x2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -4.428571429x + x2 = -1.428571429 The x term is -4.428571429x. Take half its coefficient (-2.214285715). Square it (4.903061228) and add it to both sides. Add '4.903061228' to each side of the equation. -4.428571429x + 4.903061228 + x2 = -1.428571429 + 4.903061228 Reorder the terms: 4.903061228 + -4.428571429x + x2 = -1.428571429 + 4.903061228 Combine like terms: -1.428571429 + 4.903061228 = 3.474489799 4.903061228 + -4.428571429x + x2 = 3.474489799 Factor a perfect square on the left side: (x + -2.214285715)(x + -2.214285715) = 3.474489799 Calculate the square root of the right side: 1.863998337 Break this problem into two subproblems by setting (x + -2.214285715) equal to 1.863998337 and -1.863998337.Subproblem 1
x + -2.214285715 = 1.863998337 Simplifying x + -2.214285715 = 1.863998337 Reorder the terms: -2.214285715 + x = 1.863998337 Solving -2.214285715 + x = 1.863998337 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.214285715' to each side of the equation. -2.214285715 + 2.214285715 + x = 1.863998337 + 2.214285715 Combine like terms: -2.214285715 + 2.214285715 = 0.000000000 0.000000000 + x = 1.863998337 + 2.214285715 x = 1.863998337 + 2.214285715 Combine like terms: 1.863998337 + 2.214285715 = 4.078284052 x = 4.078284052 Simplifying x = 4.078284052Subproblem 2
x + -2.214285715 = -1.863998337 Simplifying x + -2.214285715 = -1.863998337 Reorder the terms: -2.214285715 + x = -1.863998337 Solving -2.214285715 + x = -1.863998337 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.214285715' to each side of the equation. -2.214285715 + 2.214285715 + x = -1.863998337 + 2.214285715 Combine like terms: -2.214285715 + 2.214285715 = 0.000000000 0.000000000 + x = -1.863998337 + 2.214285715 x = -1.863998337 + 2.214285715 Combine like terms: -1.863998337 + 2.214285715 = 0.350287378 x = 0.350287378 Simplifying x = 0.350287378Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.078284052, 0.350287378}
| -1-5x=-31 | | -3(a-2)=-36 | | -y+5=14+4y | | 5x+25+100=180 | | X-3(2x-8)=26 | | -7z-12=-61 | | 6x-8=5(2x+3)-15 | | y-2x-6=0 | | 18x+23x=-5 | | 6-4(-2c-7)= | | 11n^2+6n-21=0 | | 13+6+2x-18=4x+-29 | | -4(n+4)=-2-14 | | 2x+3y=5z | | 1n^2+40+14n=0 | | 6(3-4)-2x=14 | | 6+4(3w-1)=-3(3w-4)+6w | | 4x+6y=300 | | 2v-5=-17 | | 3h-5h+11=1 | | 2x-4+2x-3-2=3x | | 5(2n-5)=-37+4n | | -3(1+2x)=-11-4x | | -5y+6+2y=21 | | 9+7h-1=4h+8-h | | -38+8n=-7(n-8) | | 5x^2=-21-7x | | 4c-6+c=16-3c | | -10=p-(-4) | | 88-4x=120 | | 5(2x-4)=11 | | n^2+6x=7 |