If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + -3x + -31 = 0 Reorder the terms: -31 + -3x + x2 = 0 Solving -31 + -3x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '31' to each side of the equation. -31 + -3x + 31 + x2 = 0 + 31 Reorder the terms: -31 + 31 + -3x + x2 = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -3x + x2 = 0 + 31 -3x + x2 = 0 + 31 Combine like terms: 0 + 31 = 31 -3x + x2 = 31 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = 31 + 2.25 Reorder the terms: 2.25 + -3x + x2 = 31 + 2.25 Combine like terms: 31 + 2.25 = 33.25 2.25 + -3x + x2 = 33.25 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 33.25 Calculate the square root of the right side: 5.766281297 Break this problem into two subproblems by setting (x + -1.5) equal to 5.766281297 and -5.766281297.Subproblem 1
x + -1.5 = 5.766281297 Simplifying x + -1.5 = 5.766281297 Reorder the terms: -1.5 + x = 5.766281297 Solving -1.5 + x = 5.766281297 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 5.766281297 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 5.766281297 + 1.5 x = 5.766281297 + 1.5 Combine like terms: 5.766281297 + 1.5 = 7.266281297 x = 7.266281297 Simplifying x = 7.266281297Subproblem 2
x + -1.5 = -5.766281297 Simplifying x + -1.5 = -5.766281297 Reorder the terms: -1.5 + x = -5.766281297 Solving -1.5 + x = -5.766281297 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -5.766281297 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -5.766281297 + 1.5 x = -5.766281297 + 1.5 Combine like terms: -5.766281297 + 1.5 = -4.266281297 x = -4.266281297 Simplifying x = -4.266281297Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.266281297, -4.266281297}
| 4(3x+6)-6(3x-5)=11x+3(2x-7) | | -173=-6a+5(-4a+7) | | x+7x+2=6x | | 0.50(x+6)=7 | | 15x+0.25=20x+0.05 | | 33r^2+19r-10=0 | | 2u-11=5u+6 | | 40=10-6x | | 36/6+4-36/3=10 | | 36/6+4-36/3= | | -78=-6(3-2k) | | -4a^4b^2*-6a^2b^4= | | t^2=5t-6 | | 5=5b-3+3b | | 4-70=12y+2 | | 9x-13=7x+5 | | 4x-15=17+4x | | (3-9[x^2+8x+16]+141)=0 | | 4n-1-4=7 | | 6h+24=-2h | | 6=-3+5(y-2) | | 2n-3(4n+5)=6(n-3)-1 | | -12x^2-5x+3=0 | | 5+3=11 | | -2v-3v=-10 | | -7=-6x+1-2 | | 5x/11=4x+18 | | 4x^2-27x+45=-3x+10 | | x+5x-5=1q | | -6x-5x=0 | | -(-5-6x)=-6(x-3)-1 | | 0.64+0.23t=1.13-0.71t |