If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9(3a + 1) * a = 2 Reorder the terms: 9(1 + 3a) * a = 2 Reorder the terms for easier multiplication: 9a(1 + 3a) = 2 (1 * 9a + 3a * 9a) = 2 (9a + 27a2) = 2 Solving 9a + 27a2 = 2 Solving for variable 'a'. Reorder the terms: -2 + 9a + 27a2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 9a + 27a2 = 0 Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. -0.07407407407 + 0.3333333333a + a2 = 0 Move the constant term to the right: Add '0.07407407407' to each side of the equation. -0.07407407407 + 0.3333333333a + 0.07407407407 + a2 = 0 + 0.07407407407 Reorder the terms: -0.07407407407 + 0.07407407407 + 0.3333333333a + a2 = 0 + 0.07407407407 Combine like terms: -0.07407407407 + 0.07407407407 = 0.00000000000 0.00000000000 + 0.3333333333a + a2 = 0 + 0.07407407407 0.3333333333a + a2 = 0 + 0.07407407407 Combine like terms: 0 + 0.07407407407 = 0.07407407407 0.3333333333a + a2 = 0.07407407407 The a term is 0.3333333333a. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333a + 0.02777777779 + a2 = 0.07407407407 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333a + a2 = 0.07407407407 + 0.02777777779 Combine like terms: 0.07407407407 + 0.02777777779 = 0.10185185186 0.02777777779 + 0.3333333333a + a2 = 0.10185185186 Factor a perfect square on the left side: (a + 0.1666666667)(a + 0.1666666667) = 0.10185185186 Calculate the square root of the right side: 0.319142369 Break this problem into two subproblems by setting (a + 0.1666666667) equal to 0.319142369 and -0.319142369.Subproblem 1
a + 0.1666666667 = 0.319142369 Simplifying a + 0.1666666667 = 0.319142369 Reorder the terms: 0.1666666667 + a = 0.319142369 Solving 0.1666666667 + a = 0.319142369 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.1666666667' to each side of the equation. 0.1666666667 + -0.1666666667 + a = 0.319142369 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + a = 0.319142369 + -0.1666666667 a = 0.319142369 + -0.1666666667 Combine like terms: 0.319142369 + -0.1666666667 = 0.1524757023 a = 0.1524757023 Simplifying a = 0.1524757023Subproblem 2
a + 0.1666666667 = -0.319142369 Simplifying a + 0.1666666667 = -0.319142369 Reorder the terms: 0.1666666667 + a = -0.319142369 Solving 0.1666666667 + a = -0.319142369 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.1666666667' to each side of the equation. 0.1666666667 + -0.1666666667 + a = -0.319142369 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + a = -0.319142369 + -0.1666666667 a = -0.319142369 + -0.1666666667 Combine like terms: -0.319142369 + -0.1666666667 = -0.4858090357 a = -0.4858090357 Simplifying a = -0.4858090357Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.1524757023, -0.4858090357}
| 2b-5-9b-3= | | (x+3)2=64 | | 24-1/2=0 | | 6x+10=-68-7x | | 0,4(2x-7)+1,2(3x+0,7)=1,6x | | 04(2x-7)+1,2(3x+0,7)=1,6x | | 12x-24=-36 | | z+4=-10 | | 12+8n=20 | | 8x^3+14x^2-4x= | | 9x-52=5x-8 | | -9(5x+6)+6= | | 7+6(u-6)+5u=2(5u+12) | | -2n+4(5-n)=2(2n+30) | | 2z+1/4=3/4 | | 5+2n=7-4n | | 2x+3-x-1=9x+4-6x-6 | | 2x-6x+7=2x+31 | | -3+5x+1-2x=-3+6x+5-4x | | -4(2x+9)+2= | | 4y+12=24 | | 0.25(4s-2)+2=0.25(3s-9) | | 2(3x-2)-3(x+3)=0 | | -8p+7+9p=12 | | -5(3x+9)+9= | | 199-3x=24x+23 | | 4x+(x+7)=-14-2x | | 3p+4p-2p=20 | | 20(x)=4 | | 2-7c=16 | | b-28.15=-17.73 | | 32=5(3u-4)-5u-3u |