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 + -27 = 0 Reorder the terms: -27 + 5a + a2 = 0 Solving -27 + 5a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '27' to each side of the equation. -27 + 5a + 27 + a2 = 0 + 27 Reorder the terms: -27 + 27 + 5a + a2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 5a + a2 = 0 + 27 5a + a2 = 0 + 27 Combine like terms: 0 + 27 = 27 5a + a2 = 27 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 = 27 + 6.25 Reorder the terms: 6.25 + 5a + a2 = 27 + 6.25 Combine like terms: 27 + 6.25 = 33.25 6.25 + 5a + a2 = 33.25 Factor a perfect square on the left side: (a + 2.5)(a + 2.5) = 33.25 Calculate the square root of the right side: 5.766281297 Break this problem into two subproblems by setting (a + 2.5) equal to 5.766281297 and -5.766281297.Subproblem 1
a + 2.5 = 5.766281297 Simplifying a + 2.5 = 5.766281297 Reorder the terms: 2.5 + a = 5.766281297 Solving 2.5 + a = 5.766281297 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 = 5.766281297 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = 5.766281297 + -2.5 a = 5.766281297 + -2.5 Combine like terms: 5.766281297 + -2.5 = 3.266281297 a = 3.266281297 Simplifying a = 3.266281297Subproblem 2
a + 2.5 = -5.766281297 Simplifying a + 2.5 = -5.766281297 Reorder the terms: 2.5 + a = -5.766281297 Solving 2.5 + a = -5.766281297 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 = -5.766281297 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = -5.766281297 + -2.5 a = -5.766281297 + -2.5 Combine like terms: -5.766281297 + -2.5 = -8.266281297 a = -8.266281297 Simplifying a = -8.266281297Solution
The solution to the problem is based on the solutions from the subproblems. a = {3.266281297, -8.266281297}
| 17x+14=19x-10 | | (-2/7)t=-4 | | 16x+9x+5=90 | | -2.1(-7)= | | 3+5t=28 | | 9x-1=2+6x | | -7(x+3)+3= | | 3+5t=58 | | -12=6x/7 | | -7(3k+7)-7= | | 7-1/4(x)=15 | | -2x=15x | | (x)5=(2)3 | | 2000=mx+b | | -74=6+8x | | p+15.48=5.16 | | 5x+7(x-4)=32 | | 6+2x-2=3(4x-2) | | p+0.08p=37.80 | | 3x+448=715 | | 12x-5=27x+5 | | x/6+3=x/5+6 | | p+0.08=37.80 | | 8n-12=6n+6 | | 35-3n=5(2n+7) | | y=2.50x+500 | | -12+2/3m=-2 | | 23-11c=3-c | | (-3/2)a=15 | | 3m/4+3/8=m/3-5/6 | | -2/9g=7/9 | | 9/10k=1/15-11/14 |