If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3(3v2 + 10v) + 13 = -10 Reorder the terms: 3(10v + 3v2) + 13 = -10 (10v * 3 + 3v2 * 3) + 13 = -10 (30v + 9v2) + 13 = -10 Reorder the terms: 13 + 30v + 9v2 = -10 Solving 13 + 30v + 9v2 = -10 Solving for variable 'v'. Reorder the terms: 13 + 10 + 30v + 9v2 = -10 + 10 Combine like terms: 13 + 10 = 23 23 + 30v + 9v2 = -10 + 10 Combine like terms: -10 + 10 = 0 23 + 30v + 9v2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.555555556 + 3.333333333v + v2 = 0 Move the constant term to the right: Add '-2.555555556' to each side of the equation. 2.555555556 + 3.333333333v + -2.555555556 + v2 = 0 + -2.555555556 Reorder the terms: 2.555555556 + -2.555555556 + 3.333333333v + v2 = 0 + -2.555555556 Combine like terms: 2.555555556 + -2.555555556 = 0.000000000 0.000000000 + 3.333333333v + v2 = 0 + -2.555555556 3.333333333v + v2 = 0 + -2.555555556 Combine like terms: 0 + -2.555555556 = -2.555555556 3.333333333v + v2 = -2.555555556 The v term is 3.333333333v. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333v + 2.777777779 + v2 = -2.555555556 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333v + v2 = -2.555555556 + 2.777777779 Combine like terms: -2.555555556 + 2.777777779 = 0.222222223 2.777777779 + 3.333333333v + v2 = 0.222222223 Factor a perfect square on the left side: (v + 1.666666667)(v + 1.666666667) = 0.222222223 Calculate the square root of the right side: 0.471404522 Break this problem into two subproblems by setting (v + 1.666666667) equal to 0.471404522 and -0.471404522.Subproblem 1
v + 1.666666667 = 0.471404522 Simplifying v + 1.666666667 = 0.471404522 Reorder the terms: 1.666666667 + v = 0.471404522 Solving 1.666666667 + v = 0.471404522 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + v = 0.471404522 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + v = 0.471404522 + -1.666666667 v = 0.471404522 + -1.666666667 Combine like terms: 0.471404522 + -1.666666667 = -1.195262145 v = -1.195262145 Simplifying v = -1.195262145Subproblem 2
v + 1.666666667 = -0.471404522 Simplifying v + 1.666666667 = -0.471404522 Reorder the terms: 1.666666667 + v = -0.471404522 Solving 1.666666667 + v = -0.471404522 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + v = -0.471404522 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + v = -0.471404522 + -1.666666667 v = -0.471404522 + -1.666666667 Combine like terms: -0.471404522 + -1.666666667 = -2.138071189 v = -2.138071189 Simplifying v = -2.138071189Solution
The solution to the problem is based on the solutions from the subproblems. v = {-1.195262145, -2.138071189}
| -9=7(-3x) | | 7y(9z-1)= | | 3n=n+64 | | 3(3v^2+10v)+13=-13 | | 3*x^2+29*x+137=0 | | y=35x-50 | | 12+7x=11-2x | | 4m+m+1=3 | | 5x+5y=5 | | 86=3x+29 | | 2(3x^2+29x+137)=o | | .1666(x-18)+.3333(x+3)=x+34 | | 5(c-9)=-15 | | -2=6(-5x) | | 2r-9ifr=5.5 | | n^2-n-72=0 | | 0.3w-4=0.8-2.0w | | 8x-7-3x=16 | | 15x-11-14x-2=2 | | 13y=2(6y-4) | | 1-8=y-9 | | m^3-m^2-4=0 | | 3x+51=6 | | 6.6x+4=5.6x | | 2t^2-7=-10t^2+1721 | | 5x+4y+10=0 | | -9a^2+6a+24=0 | | 2(x-4)+9x=-5(x-2)-6 | | 2a^2+11a+15a=0 | | 8x+1=5x-14 | | 1-x=3x+1+5x | | x^2+8x=37 |