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 + 5) = 45 Reorder the terms: a(5 + a) = 45 (5 * a + a * a) = 45 (5a + a2) = 45 Solving 5a + a2 = 45 Solving for variable 'a'. Reorder the terms: -45 + 5a + a2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + 5a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '45' to each side of the equation. -45 + 5a + 45 + a2 = 0 + 45 Reorder the terms: -45 + 45 + 5a + a2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 5a + a2 = 0 + 45 5a + a2 = 0 + 45 Combine like terms: 0 + 45 = 45 5a + a2 = 45 The a term is 5a. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5a + 6.25 + a2 = 45 + 6.25 Reorder the terms: 6.25 + 5a + a2 = 45 + 6.25 Combine like terms: 45 + 6.25 = 51.25 6.25 + 5a + a2 = 51.25 Factor a perfect square on the left side: (a + 2.5)(a + 2.5) = 51.25 Calculate the square root of the right side: 7.158910532 Break this problem into two subproblems by setting (a + 2.5) equal to 7.158910532 and -7.158910532.Subproblem 1
a + 2.5 = 7.158910532 Simplifying a + 2.5 = 7.158910532 Reorder the terms: 2.5 + a = 7.158910532 Solving 2.5 + a = 7.158910532 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + a = 7.158910532 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = 7.158910532 + -2.5 a = 7.158910532 + -2.5 Combine like terms: 7.158910532 + -2.5 = 4.658910532 a = 4.658910532 Simplifying a = 4.658910532Subproblem 2
a + 2.5 = -7.158910532 Simplifying a + 2.5 = -7.158910532 Reorder the terms: 2.5 + a = -7.158910532 Solving 2.5 + a = -7.158910532 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + a = -7.158910532 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = -7.158910532 + -2.5 a = -7.158910532 + -2.5 Combine like terms: -7.158910532 + -2.5 = -9.658910532 a = -9.658910532 Simplifying a = -9.658910532Solution
The solution to the problem is based on the solutions from the subproblems. a = {4.658910532, -9.658910532}
| 27x^2-60x-32=0 | | log(x)-2log(3x)=0 | | ln(x)-2ln(3x)=0 | | y=lnsquarex^2-x^3 | | 16x+3y-427=0 | | T=D+4 | | 2x+7z=6+7y | | 5(y-7)=3(y-4)-29 | | x+400=2x | | 2(x+2)+24=2(13-x)+2x | | 9b-6=24+14b | | i*z^2+(2-2i)*z-4=0 | | 3x+4=342x | | 4x^4-21x+27=0 | | 11x=8(x+4.5) | | 30n^2+61n+30=0 | | a+2b=16 | | 3.6=2x+.8 | | 5xy-6xy= | | 3+66x=44x+9 | | 7q-9=4q+6 | | 11-4x=-13 | | 6-3x+5(x-7)=5(x-8) | | 3w=50-x | | z^2-2iz+8=0 | | x^3+3x^2+4= | | 2(m+5)=18 | | 34+6y=11y+4 | | -1.3j+1=3 | | 3a+2b-4+2a-5b+10= | | 3r+1=13 | | W=-3m+205 |