If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + 20a + 68 = 0 Reorder the terms: 68 + 20a + a2 = 0 Solving 68 + 20a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-68' to each side of the equation. 68 + 20a + -68 + a2 = 0 + -68 Reorder the terms: 68 + -68 + 20a + a2 = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 20a + a2 = 0 + -68 20a + a2 = 0 + -68 Combine like terms: 0 + -68 = -68 20a + a2 = -68 The a term is 20a. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20a + 100 + a2 = -68 + 100 Reorder the terms: 100 + 20a + a2 = -68 + 100 Combine like terms: -68 + 100 = 32 100 + 20a + a2 = 32 Factor a perfect square on the left side: (a + 10)(a + 10) = 32 Calculate the square root of the right side: 5.656854249 Break this problem into two subproblems by setting (a + 10) equal to 5.656854249 and -5.656854249.Subproblem 1
a + 10 = 5.656854249 Simplifying a + 10 = 5.656854249 Reorder the terms: 10 + a = 5.656854249 Solving 10 + a = 5.656854249 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = 5.656854249 + -10 Combine like terms: 10 + -10 = 0 0 + a = 5.656854249 + -10 a = 5.656854249 + -10 Combine like terms: 5.656854249 + -10 = -4.343145751 a = -4.343145751 Simplifying a = -4.343145751Subproblem 2
a + 10 = -5.656854249 Simplifying a + 10 = -5.656854249 Reorder the terms: 10 + a = -5.656854249 Solving 10 + a = -5.656854249 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = -5.656854249 + -10 Combine like terms: 10 + -10 = 0 0 + a = -5.656854249 + -10 a = -5.656854249 + -10 Combine like terms: -5.656854249 + -10 = -15.656854249 a = -15.656854249 Simplifying a = -15.656854249Solution
The solution to the problem is based on the solutions from the subproblems. a = {-4.343145751, -15.656854249}
| 4(x-2)-3x=2(x-6) | | 3-4x=1234 | | 3x^2=-12x-6 | | 4x/5=-4 | | u=u-4 | | X-0.14x= | | 3=9x-3 | | a^2-14a+33=0 | | 9x-.025=3x | | 12(x+7)=4(21+3x) | | 3x^2=12x-6 | | 4/3+6/3=10/(y-9) | | 7y=9+5 | | x+(2x-3)=3 | | 5+4t=2t/8 | | -9-5r^2=-94 | | 4/(x+3)-6/(x-3)=10/(x^2-9) | | 3.49X+14.75=46.16 | | 10x-(8+4x)=9x-17 | | 0.3v+2.4=1.5 | | x/4-3/4 | | w^2-w-6/2w^2-8 | | 7x^2-77= | | 4h(3h+2)=h+12 | | (10x-90)/3=10 | | 2x/3+6/3 | | 6(x+8)=7x-5 | | 10+v/6=4 | | -2-r-7=12 | | x^2+10x+6= | | 3/4x-1+1/2x=5/12x+1/6 | | -3/4j+2/5=7/10 |