If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying q2 + -8q = 40 Reorder the terms: -8q + q2 = 40 Solving -8q + q2 = 40 Solving for variable 'q'. Reorder the terms: -40 + -8q + q2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + -8q + q2 = 0 Begin completing the square. Move the constant term to the right: Add '40' to each side of the equation. -40 + -8q + 40 + q2 = 0 + 40 Reorder the terms: -40 + 40 + -8q + q2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -8q + q2 = 0 + 40 -8q + q2 = 0 + 40 Combine like terms: 0 + 40 = 40 -8q + q2 = 40 The q term is -8q. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8q + 16 + q2 = 40 + 16 Reorder the terms: 16 + -8q + q2 = 40 + 16 Combine like terms: 40 + 16 = 56 16 + -8q + q2 = 56 Factor a perfect square on the left side: (q + -4)(q + -4) = 56 Calculate the square root of the right side: 7.483314774 Break this problem into two subproblems by setting (q + -4) equal to 7.483314774 and -7.483314774.Subproblem 1
q + -4 = 7.483314774 Simplifying q + -4 = 7.483314774 Reorder the terms: -4 + q = 7.483314774 Solving -4 + q = 7.483314774 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + q = 7.483314774 + 4 Combine like terms: -4 + 4 = 0 0 + q = 7.483314774 + 4 q = 7.483314774 + 4 Combine like terms: 7.483314774 + 4 = 11.483314774 q = 11.483314774 Simplifying q = 11.483314774Subproblem 2
q + -4 = -7.483314774 Simplifying q + -4 = -7.483314774 Reorder the terms: -4 + q = -7.483314774 Solving -4 + q = -7.483314774 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + q = -7.483314774 + 4 Combine like terms: -4 + 4 = 0 0 + q = -7.483314774 + 4 q = -7.483314774 + 4 Combine like terms: -7.483314774 + 4 = -3.483314774 q = -3.483314774 Simplifying q = -3.483314774Solution
The solution to the problem is based on the solutions from the subproblems. q = {11.483314774, -3.483314774}
| 36a^3-15a^2+84a-35=0 | | 30-5(p-10)=11p | | -9-3y=19+y | | x^2+4x-77=0 | | 123=9y+4-7y | | -8(3a-5)=56a | | 4x^2-3x-1=0 | | K=10.5+-1.5k | | -4w=10 | | -9x=-36 | | -8=-0.5714z | | K=1.5(7-k) | | 4-5+2=x+3 | | -6w=27 | | 4y-23=3y-16 | | -7(x-6)=-8x+39 | | 4x^2+7x-57=y | | 108=-5x-4(-3x-5) | | 11+12-3=3d+7-4d | | 4+12-6=5+2n-18 | | m+4(3+7m)=3m+38 | | 108=-4x-4(-3x-5) | | -3c+6+5c=-2c+6 | | x=4y-23 | | 12y=-1 | | 4r-8=-8(1+3r) | | -7x+9=-19 | | -2(t-8)-(t+6)=2 | | 3r^2+2r-1=0 | | -1.3(n+0.5)=1.2(n+19) | | -2u=-8u+18 | | 4x+34=-7(4x+4)+x |