If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3q2 + 18q = 8 Reorder the terms: 18q + 3q2 = 8 Solving 18q + 3q2 = 8 Solving for variable 'q'. Reorder the terms: -8 + 18q + 3q2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 18q + 3q2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -2.666666667 + 6q + q2 = 0 Move the constant term to the right: Add '2.666666667' to each side of the equation. -2.666666667 + 6q + 2.666666667 + q2 = 0 + 2.666666667 Reorder the terms: -2.666666667 + 2.666666667 + 6q + q2 = 0 + 2.666666667 Combine like terms: -2.666666667 + 2.666666667 = 0.000000000 0.000000000 + 6q + q2 = 0 + 2.666666667 6q + q2 = 0 + 2.666666667 Combine like terms: 0 + 2.666666667 = 2.666666667 6q + q2 = 2.666666667 The q term is 6q. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6q + 9 + q2 = 2.666666667 + 9 Reorder the terms: 9 + 6q + q2 = 2.666666667 + 9 Combine like terms: 2.666666667 + 9 = 11.666666667 9 + 6q + q2 = 11.666666667 Factor a perfect square on the left side: (q + 3)(q + 3) = 11.666666667 Calculate the square root of the right side: 3.415650255 Break this problem into two subproblems by setting (q + 3) equal to 3.415650255 and -3.415650255.Subproblem 1
q + 3 = 3.415650255 Simplifying q + 3 = 3.415650255 Reorder the terms: 3 + q = 3.415650255 Solving 3 + q = 3.415650255 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + q = 3.415650255 + -3 Combine like terms: 3 + -3 = 0 0 + q = 3.415650255 + -3 q = 3.415650255 + -3 Combine like terms: 3.415650255 + -3 = 0.415650255 q = 0.415650255 Simplifying q = 0.415650255Subproblem 2
q + 3 = -3.415650255 Simplifying q + 3 = -3.415650255 Reorder the terms: 3 + q = -3.415650255 Solving 3 + q = -3.415650255 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + q = -3.415650255 + -3 Combine like terms: 3 + -3 = 0 0 + q = -3.415650255 + -3 q = -3.415650255 + -3 Combine like terms: -3.415650255 + -3 = -6.415650255 q = -6.415650255 Simplifying q = -6.415650255Solution
The solution to the problem is based on the solutions from the subproblems. q = {0.415650255, -6.415650255}
| 9x^3=225y | | 4n-3+n^2=2 | | 0.05x-3.75=0.4(x-5) | | 3x+x=25 | | 3-2y=3x | | 0.05x-3.75=0.4x+2 | | 3y+5-3(2y-1)=11 | | 2x^2-3x-15-5=y | | (6x-10)+x=15 | | 2y=24-2 | | x-9=3x+3 | | 2(x-5)=3-(4+x) | | 4g-2=-6 | | p+28+p-31+p*4=1131 | | 5w-13=37 | | -17+7m=60 | | .75*x=36 | | 60-3x=13x | | m^2+2m-48=-6 | | 7.39=2*3.14*r | | 1.60*p+p=65 | | 16*p+p=65 | | 10(t-4)+8t=6(3t+5)-9 | | m^2-12m+26=0 | | .285x=8 | | .257x=8 | | 18x^2+9x=20 | | -(6y+5)-(-5y-8)=-3 | | r^2+2r-33=0 | | .714x=25 | | p^2+16p-22=0 | | x-8.6=-6.6 |