If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a(a + 10) + -6 = 104 Reorder the terms: a(10 + a) + -6 = 104 (10 * a + a * a) + -6 = 104 (10a + a2) + -6 = 104 Reorder the terms: -6 + 10a + a2 = 104 Solving -6 + 10a + a2 = 104 Solving for variable 'a'. Reorder the terms: -6 + -104 + 10a + a2 = 104 + -104 Combine like terms: -6 + -104 = -110 -110 + 10a + a2 = 104 + -104 Combine like terms: 104 + -104 = 0 -110 + 10a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '110' to each side of the equation. -110 + 10a + 110 + a2 = 0 + 110 Reorder the terms: -110 + 110 + 10a + a2 = 0 + 110 Combine like terms: -110 + 110 = 0 0 + 10a + a2 = 0 + 110 10a + a2 = 0 + 110 Combine like terms: 0 + 110 = 110 10a + a2 = 110 The a term is 10a. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10a + 25 + a2 = 110 + 25 Reorder the terms: 25 + 10a + a2 = 110 + 25 Combine like terms: 110 + 25 = 135 25 + 10a + a2 = 135 Factor a perfect square on the left side: (a + 5)(a + 5) = 135 Calculate the square root of the right side: 11.618950039 Break this problem into two subproblems by setting (a + 5) equal to 11.618950039 and -11.618950039.Subproblem 1
a + 5 = 11.618950039 Simplifying a + 5 = 11.618950039 Reorder the terms: 5 + a = 11.618950039 Solving 5 + a = 11.618950039 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 11.618950039 + -5 Combine like terms: 5 + -5 = 0 0 + a = 11.618950039 + -5 a = 11.618950039 + -5 Combine like terms: 11.618950039 + -5 = 6.618950039 a = 6.618950039 Simplifying a = 6.618950039Subproblem 2
a + 5 = -11.618950039 Simplifying a + 5 = -11.618950039 Reorder the terms: 5 + a = -11.618950039 Solving 5 + a = -11.618950039 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = -11.618950039 + -5 Combine like terms: 5 + -5 = 0 0 + a = -11.618950039 + -5 a = -11.618950039 + -5 Combine like terms: -11.618950039 + -5 = -16.618950039 a = -16.618950039 Simplifying a = -16.618950039Solution
The solution to the problem is based on the solutions from the subproblems. a = {6.618950039, -16.618950039}
| 0.6x+1.9x=5 | | 10(5+m)=63 | | 110-4x=3x+19 | | nx-m=p | | 100x^2-20x+1=0 | | -32-2x=8-7x | | 7(2y-1)=7 | | 3a+9=27 | | 2c+4+3c=-26 | | -y+7=-8y | | x+(x-14)=40 | | 19x=3x-16 | | 131-6x=5x+10 | | 8z+3=4 | | 10(3m+1)=2(10m-5) | | 14d-6=17d | | 95-4x=14x-121 | | 6x+43=9x-43 | | 14-9x=86-30x | | (2x-1)(x+3)=0 | | 7x-40=30-3x | | -129-9x=86-30x | | -8x+2=-6x+10 | | -1=-3(2x+3)+7x | | 3x+10+5x-70=180 | | 5q=-7q+6 | | x+3y=2x-3 | | 2x+13=-57-8x | | -4x+5-8+4=6x-4 | | 2x+1+x+2=90 | | 4(n-1)=n+11 | | 2x+1+x+2=180 |