If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 31x = 21 Reorder the terms: 31x + 6x2 = 21 Solving 31x + 6x2 = 21 Solving for variable 'x'. Reorder the terms: -21 + 31x + 6x2 = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 31x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -3.5 + 5.166666667x + x2 = 0 Move the constant term to the right: Add '3.5' to each side of the equation. -3.5 + 5.166666667x + 3.5 + x2 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + 5.166666667x + x2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 5.166666667x + x2 = 0 + 3.5 5.166666667x + x2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 5.166666667x + x2 = 3.5 The x term is 5.166666667x. Take half its coefficient (2.583333334). Square it (6.673611115) and add it to both sides. Add '6.673611115' to each side of the equation. 5.166666667x + 6.673611115 + x2 = 3.5 + 6.673611115 Reorder the terms: 6.673611115 + 5.166666667x + x2 = 3.5 + 6.673611115 Combine like terms: 3.5 + 6.673611115 = 10.173611115 6.673611115 + 5.166666667x + x2 = 10.173611115 Factor a perfect square on the left side: (x + 2.583333334)(x + 2.583333334) = 10.173611115 Calculate the square root of the right side: 3.189609869 Break this problem into two subproblems by setting (x + 2.583333334) equal to 3.189609869 and -3.189609869.Subproblem 1
x + 2.583333334 = 3.189609869 Simplifying x + 2.583333334 = 3.189609869 Reorder the terms: 2.583333334 + x = 3.189609869 Solving 2.583333334 + x = 3.189609869 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.583333334' to each side of the equation. 2.583333334 + -2.583333334 + x = 3.189609869 + -2.583333334 Combine like terms: 2.583333334 + -2.583333334 = 0.000000000 0.000000000 + x = 3.189609869 + -2.583333334 x = 3.189609869 + -2.583333334 Combine like terms: 3.189609869 + -2.583333334 = 0.606276535 x = 0.606276535 Simplifying x = 0.606276535Subproblem 2
x + 2.583333334 = -3.189609869 Simplifying x + 2.583333334 = -3.189609869 Reorder the terms: 2.583333334 + x = -3.189609869 Solving 2.583333334 + x = -3.189609869 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.583333334' to each side of the equation. 2.583333334 + -2.583333334 + x = -3.189609869 + -2.583333334 Combine like terms: 2.583333334 + -2.583333334 = 0.000000000 0.000000000 + x = -3.189609869 + -2.583333334 x = -3.189609869 + -2.583333334 Combine like terms: -3.189609869 + -2.583333334 = -5.772943203 x = -5.772943203 Simplifying x = -5.772943203Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.606276535, -5.772943203}
| 2x(3-4)=3x+8 | | 2/3w+4=14 | | 17x-3+98=360 | | 2x+3=1x+19 | | 7+-3(5x+-10)=67 | | 114-7x=20x+18 | | 2(x-3)-14= | | 4=5y-3y | | 3/4=y+1/4 | | 6(n-1)=2(5-b) | | 14m+7-2m+3-m=-7m+20+3m | | 48/6+m=11 | | 5/9=x+7/9 | | 6/10=5/x | | -6(n-1)-(3n-2)=-10n | | 4a^2-3a-3= | | -6(x+-2)+4(3+-6x)=-36 | | 5+2=2t | | x^3-4x^2-15x+10=0 | | 35/8*42/5 | | 0.9(6x+9)=5.2-(x-3) | | factorn^2-n-56=0 | | -9y+3y-5x+12x= | | 25-11=2(x-7) | | 7x+14=4+2x | | -6-8x=187-43x | | 6.75+3/8x=131/4 | | 6=3x+2 | | 3(1+4n)+-2(5n+-3)=25 | | 25-11=2x(x-7) | | 11/6*4/5= | | y^2-7xy+10x^2=0 |