If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + 5a + -40 = 0 Reorder the terms: -40 + 5a + a2 = 0 Solving -40 + 5a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '40' to each side of the equation. -40 + 5a + 40 + a2 = 0 + 40 Reorder the terms: -40 + 40 + 5a + a2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 5a + a2 = 0 + 40 5a + a2 = 0 + 40 Combine like terms: 0 + 40 = 40 5a + a2 = 40 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 = 40 + 6.25 Reorder the terms: 6.25 + 5a + a2 = 40 + 6.25 Combine like terms: 40 + 6.25 = 46.25 6.25 + 5a + a2 = 46.25 Factor a perfect square on the left side: (a + 2.5)(a + 2.5) = 46.25 Calculate the square root of the right side: 6.800735254 Break this problem into two subproblems by setting (a + 2.5) equal to 6.800735254 and -6.800735254.Subproblem 1
a + 2.5 = 6.800735254 Simplifying a + 2.5 = 6.800735254 Reorder the terms: 2.5 + a = 6.800735254 Solving 2.5 + a = 6.800735254 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 = 6.800735254 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = 6.800735254 + -2.5 a = 6.800735254 + -2.5 Combine like terms: 6.800735254 + -2.5 = 4.300735254 a = 4.300735254 Simplifying a = 4.300735254Subproblem 2
a + 2.5 = -6.800735254 Simplifying a + 2.5 = -6.800735254 Reorder the terms: 2.5 + a = -6.800735254 Solving 2.5 + a = -6.800735254 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 = -6.800735254 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = -6.800735254 + -2.5 a = -6.800735254 + -2.5 Combine like terms: -6.800735254 + -2.5 = -9.300735254 a = -9.300735254 Simplifying a = -9.300735254Solution
The solution to the problem is based on the solutions from the subproblems. a = {4.300735254, -9.300735254}
| 144+(x+y)=90 | | 3x^2+4x-16=0 | | 4x+25-2x-2x=25 | | 5x+23=33 | | 15.06+0.06x=15.56-0.13 | | 15y-21=0 | | 4x+6=9x+3 | | 2x-5+12x+14-14x=97 | | (15+2x)(13+2x)=360 | | 3p-2=-129 | | -4z+3-7=32 | | 7(x+5)=4(3x-20) | | 15.65+0.06x=16.40-0.14x | | 21+9j-10=227 | | 6m+4m+2m-6= | | 8+3(2y-6)-3(4y+5)-6= | | 9(u-2)+1.5=8.25 | | 15x-2+8x=6(x-6) | | 34+2T=78 | | 13K=325 | | a^2-2a-27=0 | | 6r^2+12r-22=-4 | | 3x-5+12x+14=4x+86 | | 19+N=90 | | 8-x-3x=16 | | 16x+25=6x+225 | | 3x-x+4=8x-8 | | 6x+13=4x+5 | | 2b^2-5b+1=0 | | 49n^2-70n+25=0 | | -6x+45=3x | | (2y-1)=12 |