If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2q2 + 8q = 3 Reorder the terms: 8q + 2q2 = 3 Solving 8q + 2q2 = 3 Solving for variable 'q'. Reorder the terms: -3 + 8q + 2q2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 8q + 2q2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1.5 + 4q + q2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + 4q + 1.5 + q2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + 4q + q2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 4q + q2 = 0 + 1.5 4q + q2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 4q + q2 = 1.5 The q term is 4q. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4q + 4 + q2 = 1.5 + 4 Reorder the terms: 4 + 4q + q2 = 1.5 + 4 Combine like terms: 1.5 + 4 = 5.5 4 + 4q + q2 = 5.5 Factor a perfect square on the left side: (q + 2)(q + 2) = 5.5 Calculate the square root of the right side: 2.34520788 Break this problem into two subproblems by setting (q + 2) equal to 2.34520788 and -2.34520788.Subproblem 1
q + 2 = 2.34520788 Simplifying q + 2 = 2.34520788 Reorder the terms: 2 + q = 2.34520788 Solving 2 + q = 2.34520788 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + q = 2.34520788 + -2 Combine like terms: 2 + -2 = 0 0 + q = 2.34520788 + -2 q = 2.34520788 + -2 Combine like terms: 2.34520788 + -2 = 0.34520788 q = 0.34520788 Simplifying q = 0.34520788Subproblem 2
q + 2 = -2.34520788 Simplifying q + 2 = -2.34520788 Reorder the terms: 2 + q = -2.34520788 Solving 2 + q = -2.34520788 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + q = -2.34520788 + -2 Combine like terms: 2 + -2 = 0 0 + q = -2.34520788 + -2 q = -2.34520788 + -2 Combine like terms: -2.34520788 + -2 = -4.34520788 q = -4.34520788 Simplifying q = -4.34520788Solution
The solution to the problem is based on the solutions from the subproblems. q = {0.34520788, -4.34520788}
| 2x-0.66666666666666666666666666666667(4x-12)=x+7 | | 8x^2+19x=35 | | 3x-4+24=5x-2+9x | | 8x^2+19x-35=0 | | 360-(38x+2)=.5(16x+4) | | 96=x(20-2x)(10-2x) | | -4=n+4-4 | | 5x+6y=-28 | | 3x-5y+2-9=0 | | 4-4x+8=-8 | | 37x+5-23x-5=5x+17 | | 2.73-4.5(2.1x-5.1432)=6.32x+5 | | (37x+5)-(23x-5)=5x+17 | | 13x^4+12x^3-9x^2-84x+7=0 | | 12x+16-10x=5x | | 1+4b-6b=-5 | | x(9-x)+6x=-4 | | 8(9s^2-108s-14)=0 | | (37x+5)-(23x-5)=95x+17 | | 138=3(4-7v) | | 2/9x23/7 | | 3.3*10^-4/5.5*10^-11 | | 190-(13x-7)=5x-5 | | T^2-15T+3T-45=0 | | 16n^2-25=9 | | (5/9)6 | | 1/3r3-1/2 | | 5-2(x+5)=35 | | d-1/3=5/12 | | 190-13x-7=5x-5 | | f(x)=2x^2-32x+120 | | 4x+2(x-3)=8 |