If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -1q2 + 25q = -100 Reorder the terms: 25q + -1q2 = -100 Solving 25q + -1q2 = -100 Solving for variable 'q'. Reorder the terms: 100 + 25q + -1q2 = -100 + 100 Combine like terms: -100 + 100 = 0 100 + 25q + -1q2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -100 + -25q + q2 = 0 Move the constant term to the right: Add '100' to each side of the equation. -100 + -25q + 100 + q2 = 0 + 100 Reorder the terms: -100 + 100 + -25q + q2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -25q + q2 = 0 + 100 -25q + q2 = 0 + 100 Combine like terms: 0 + 100 = 100 -25q + q2 = 100 The q term is -25q. Take half its coefficient (-12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. -25q + 156.25 + q2 = 100 + 156.25 Reorder the terms: 156.25 + -25q + q2 = 100 + 156.25 Combine like terms: 100 + 156.25 = 256.25 156.25 + -25q + q2 = 256.25 Factor a perfect square on the left side: (q + -12.5)(q + -12.5) = 256.25 Calculate the square root of the right side: 16.007810594 Break this problem into two subproblems by setting (q + -12.5) equal to 16.007810594 and -16.007810594.Subproblem 1
q + -12.5 = 16.007810594 Simplifying q + -12.5 = 16.007810594 Reorder the terms: -12.5 + q = 16.007810594 Solving -12.5 + q = 16.007810594 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + q = 16.007810594 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + q = 16.007810594 + 12.5 q = 16.007810594 + 12.5 Combine like terms: 16.007810594 + 12.5 = 28.507810594 q = 28.507810594 Simplifying q = 28.507810594Subproblem 2
q + -12.5 = -16.007810594 Simplifying q + -12.5 = -16.007810594 Reorder the terms: -12.5 + q = -16.007810594 Solving -12.5 + q = -16.007810594 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + q = -16.007810594 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + q = -16.007810594 + 12.5 q = -16.007810594 + 12.5 Combine like terms: -16.007810594 + 12.5 = -3.507810594 q = -3.507810594 Simplifying q = -3.507810594Solution
The solution to the problem is based on the solutions from the subproblems. q = {28.507810594, -3.507810594}
| 3(14.6)-y=33 | | x+-3=13 | | 4(4s+5)=116 | | Z-7/5=4.2 | | 10u=14u-20 | | X+3.1=27.9 | | 2x-3x/4=x/10-3/5 | | 4b+2=6 | | 6x+7(33-3x)=12 | | 15^11/5^2 | | q+2q-1=4 | | 6[5-(9x-6)]+3x=0 | | 7x-2=3x+38 | | n-(-8)=(-11) | | 12x=5+4 | | -2b-7b-5=4 | | -12y+8y-21=-5 | | 33.6/8 | | 5timesf=-75 | | 2(a-2)=30 | | 15a^11/5a^2 | | 6x+8=2(x-16) | | q+18=-q-20 | | -1+14x=12x+14 | | 4b+6=b | | 1/5(35d-25) | | 7x-3-3x=13 | | 8(5-1)=6h+4+2h | | -100=2(-8m-2) | | 4-.25y=6 | | 8(5-1)=65+4+25 | | -2x+2(-2x+15)=3(x-11) |