If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3q2 = -80q + 820 Reorder the terms: 3q2 = 820 + -80q Solving 3q2 = 820 + -80q Solving for variable 'q'. Reorder the terms: -820 + 80q + 3q2 = 820 + -80q + -820 + 80q Reorder the terms: -820 + 80q + 3q2 = 820 + -820 + -80q + 80q Combine like terms: 820 + -820 = 0 -820 + 80q + 3q2 = 0 + -80q + 80q -820 + 80q + 3q2 = -80q + 80q Combine like terms: -80q + 80q = 0 -820 + 80q + 3q2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -273.3333333 + 26.66666667q + q2 = 0 Move the constant term to the right: Add '273.3333333' to each side of the equation. -273.3333333 + 26.66666667q + 273.3333333 + q2 = 0 + 273.3333333 Reorder the terms: -273.3333333 + 273.3333333 + 26.66666667q + q2 = 0 + 273.3333333 Combine like terms: -273.3333333 + 273.3333333 = 0.0000000 0.0000000 + 26.66666667q + q2 = 0 + 273.3333333 26.66666667q + q2 = 0 + 273.3333333 Combine like terms: 0 + 273.3333333 = 273.3333333 26.66666667q + q2 = 273.3333333 The q term is 26.66666667q. Take half its coefficient (13.33333334). Square it (177.7777780) and add it to both sides. Add '177.7777780' to each side of the equation. 26.66666667q + 177.7777780 + q2 = 273.3333333 + 177.7777780 Reorder the terms: 177.7777780 + 26.66666667q + q2 = 273.3333333 + 177.7777780 Combine like terms: 273.3333333 + 177.7777780 = 451.1111113 177.7777780 + 26.66666667q + q2 = 451.1111113 Factor a perfect square on the left side: (q + 13.33333334)(q + 13.33333334) = 451.1111113 Calculate the square root of the right side: 21.239376434 Break this problem into two subproblems by setting (q + 13.33333334) equal to 21.239376434 and -21.239376434.Subproblem 1
q + 13.33333334 = 21.239376434 Simplifying q + 13.33333334 = 21.239376434 Reorder the terms: 13.33333334 + q = 21.239376434 Solving 13.33333334 + q = 21.239376434 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13.33333334' to each side of the equation. 13.33333334 + -13.33333334 + q = 21.239376434 + -13.33333334 Combine like terms: 13.33333334 + -13.33333334 = 0.00000000 0.00000000 + q = 21.239376434 + -13.33333334 q = 21.239376434 + -13.33333334 Combine like terms: 21.239376434 + -13.33333334 = 7.906043094 q = 7.906043094 Simplifying q = 7.906043094Subproblem 2
q + 13.33333334 = -21.239376434 Simplifying q + 13.33333334 = -21.239376434 Reorder the terms: 13.33333334 + q = -21.239376434 Solving 13.33333334 + q = -21.239376434 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13.33333334' to each side of the equation. 13.33333334 + -13.33333334 + q = -21.239376434 + -13.33333334 Combine like terms: 13.33333334 + -13.33333334 = 0.00000000 0.00000000 + q = -21.239376434 + -13.33333334 q = -21.239376434 + -13.33333334 Combine like terms: -21.239376434 + -13.33333334 = -34.572709774 q = -34.572709774 Simplifying q = -34.572709774Solution
The solution to the problem is based on the solutions from the subproblems. q = {7.906043094, -34.572709774}
| .5(x+1)(8x)= | | 5-(-2)+10= | | -99y-12=y-4 | | 7y+2y=5 | | -5x+10=-19 | | 4x^2-3x+2=9 | | 17v^2-18v-2=8v^2-10 | | y(-99)-12=y-4 | | 17+(-12)-5= | | 56/=8 | | z=14i | | 9r=40r | | -4(x+3)+8=(x+4) | | -99y-12=4-y | | 7(x-2)=26 | | 64+8x=156 | | .3/40=12 | | 3/5x2/3 | | 2(x-4)4x-(x-2)2x=(x-8)8x | | 5n=100+3n | | 7v^2-14v=56 | | 4(x-3)=3 | | 6x=3x-14 | | 2-5n+15=-28 | | 2-5n+15=28 | | x-26=(-21) | | x-26=(21) | | -3z=-140 | | 4y+6.2= | | .04=180/x | | -3z=-40 | | kx-5x+8y=0 |