If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6q2 + -5q = q2 + -7q + 48 Reorder the terms: -5q + 6q2 = q2 + -7q + 48 Reorder the terms: -5q + 6q2 = 48 + -7q + q2 Solving -5q + 6q2 = 48 + -7q + q2 Solving for variable 'q'. Reorder the terms: -48 + -5q + 7q + 6q2 + -1q2 = 48 + -7q + q2 + -48 + 7q + -1q2 Combine like terms: -5q + 7q = 2q -48 + 2q + 6q2 + -1q2 = 48 + -7q + q2 + -48 + 7q + -1q2 Combine like terms: 6q2 + -1q2 = 5q2 -48 + 2q + 5q2 = 48 + -7q + q2 + -48 + 7q + -1q2 Reorder the terms: -48 + 2q + 5q2 = 48 + -48 + -7q + 7q + q2 + -1q2 Combine like terms: 48 + -48 = 0 -48 + 2q + 5q2 = 0 + -7q + 7q + q2 + -1q2 -48 + 2q + 5q2 = -7q + 7q + q2 + -1q2 Combine like terms: -7q + 7q = 0 -48 + 2q + 5q2 = 0 + q2 + -1q2 -48 + 2q + 5q2 = q2 + -1q2 Combine like terms: q2 + -1q2 = 0 -48 + 2q + 5q2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -9.6 + 0.4q + q2 = 0 Move the constant term to the right: Add '9.6' to each side of the equation. -9.6 + 0.4q + 9.6 + q2 = 0 + 9.6 Reorder the terms: -9.6 + 9.6 + 0.4q + q2 = 0 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + 0.4q + q2 = 0 + 9.6 0.4q + q2 = 0 + 9.6 Combine like terms: 0 + 9.6 = 9.6 0.4q + q2 = 9.6 The q term is 0.4q. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4q + 0.04 + q2 = 9.6 + 0.04 Reorder the terms: 0.04 + 0.4q + q2 = 9.6 + 0.04 Combine like terms: 9.6 + 0.04 = 9.64 0.04 + 0.4q + q2 = 9.64 Factor a perfect square on the left side: (q + 0.2)(q + 0.2) = 9.64 Calculate the square root of the right side: 3.104834939 Break this problem into two subproblems by setting (q + 0.2) equal to 3.104834939 and -3.104834939.Subproblem 1
q + 0.2 = 3.104834939 Simplifying q + 0.2 = 3.104834939 Reorder the terms: 0.2 + q = 3.104834939 Solving 0.2 + q = 3.104834939 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + q = 3.104834939 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + q = 3.104834939 + -0.2 q = 3.104834939 + -0.2 Combine like terms: 3.104834939 + -0.2 = 2.904834939 q = 2.904834939 Simplifying q = 2.904834939Subproblem 2
q + 0.2 = -3.104834939 Simplifying q + 0.2 = -3.104834939 Reorder the terms: 0.2 + q = -3.104834939 Solving 0.2 + q = -3.104834939 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + q = -3.104834939 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + q = -3.104834939 + -0.2 q = -3.104834939 + -0.2 Combine like terms: -3.104834939 + -0.2 = -3.304834939 q = -3.304834939 Simplifying q = -3.304834939Solution
The solution to the problem is based on the solutions from the subproblems. q = {2.904834939, -3.304834939}
| 5z=2.9+2.6 | | 4(x-3)=(3x+17) | | (7x+2)2=64 | | 9(y-2)=2(4y+2)-22 | | 5x+200=14x-700 | | 12(v+2)-4v=2(4v+3)-8 | | -1+22x=65 | | 4lnx-x=0 | | x+3=(-5) | | x-9=(-24) | | x+3(x+4)=x+3x+12 | | -(6y+1)-(-5y-5)=-1 | | x+32=(-4) | | 8(5x-5)-39x=4 | | 11-2x=3x+1 | | x-16=(-2) | | 0.73=9x-0.17 | | 5x-70=2x+20 | | 3+(2x+3)+1=19 | | 84+3x+4=180 | | -12x=12x-16 | | 56x+8-4=66x-10+14 | | 4x-4=-10 | | 0.2+0.69=1.3y | | 14x=14x | | .5(x-4)=3x-1 | | 25x^2+9y^2=22 | | 4-lnx=-9 | | -3x^2+3x+26=0 | | 3(m+7)-n(m+7)=0 | | 7a-4=2a-14 | | 0.4-0.2=1 |