If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 6x = 23 Reorder the terms: 6x + x2 = 23 Solving 6x + x2 = 23 Solving for variable 'x'. Reorder the terms: -23 + 6x + x2 = 23 + -23 Combine like terms: 23 + -23 = 0 -23 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '23' to each side of the equation. -23 + 6x + 23 + x2 = 0 + 23 Reorder the terms: -23 + 23 + 6x + x2 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 6x + x2 = 0 + 23 6x + x2 = 0 + 23 Combine like terms: 0 + 23 = 23 6x + x2 = 23 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = 23 + 9 Reorder the terms: 9 + 6x + x2 = 23 + 9 Combine like terms: 23 + 9 = 32 9 + 6x + x2 = 32 Factor a perfect square on the left side: (x + 3)(x + 3) = 32 Calculate the square root of the right side: 5.656854249 Break this problem into two subproblems by setting (x + 3) equal to 5.656854249 and -5.656854249.Subproblem 1
x + 3 = 5.656854249 Simplifying x + 3 = 5.656854249 Reorder the terms: 3 + x = 5.656854249 Solving 3 + x = 5.656854249 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 5.656854249 + -3 Combine like terms: 3 + -3 = 0 0 + x = 5.656854249 + -3 x = 5.656854249 + -3 Combine like terms: 5.656854249 + -3 = 2.656854249 x = 2.656854249 Simplifying x = 2.656854249Subproblem 2
x + 3 = -5.656854249 Simplifying x + 3 = -5.656854249 Reorder the terms: 3 + x = -5.656854249 Solving 3 + x = -5.656854249 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -5.656854249 + -3 Combine like terms: 3 + -3 = 0 0 + x = -5.656854249 + -3 x = -5.656854249 + -3 Combine like terms: -5.656854249 + -3 = -8.656854249 x = -8.656854249 Simplifying x = -8.656854249Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.656854249, -8.656854249}
| 20x^2+23x-21=0 | | (3x^4-5x^3-2x)+(6x^4-7x)= | | r^2+9t=-20 | | 15m-9=36 | | x-7.8=-3.6 | | 8(8-4x)-5=26+x | | -5x^2-13x-6=0 | | 4f-9=15+8f | | m+22=15 | | (-3d^2-8+2d)+(4d-12+d^2)= | | m^2=90 | | 64x^2-16x=0 | | 5x^3+35x^2+5x+35=0 | | 38.8-9.7t=-67.9 | | 4b-5(7b+1)=-8b-28 | | 2a^2-9a+4=0 | | (u-8)(u+3)= | | 2(-1-9y)+4y=5 | | 18x^2-84x+98= | | 6(4x-7)=3(8x+8) | | 10n^2-4=506 | | 4+18r-2=9r+98-3r | | 159-4x=41x+14 | | 2x^3+5x^2-3x+5=0 | | 10-9x=23-16x | | x+(x-8)=60 | | 6y+4y=90 | | (8y-4y^2)+(3y-9y^2)= | | (0.5*x^2)-(1.5*x)=0.375 | | (0.5*x^2)-(1.5*x)-0.375=x | | q^2+2q=1 | | 2x^2-18x-8=0 |