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 + 1 = 0 Reorder the terms: 1 + 5a + a2 = 0 Solving 1 + 5a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + 5a + -1 + a2 = 0 + -1 Reorder the terms: 1 + -1 + 5a + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5a + a2 = 0 + -1 5a + a2 = 0 + -1 Combine like terms: 0 + -1 = -1 5a + a2 = -1 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 = -1 + 6.25 Reorder the terms: 6.25 + 5a + a2 = -1 + 6.25 Combine like terms: -1 + 6.25 = 5.25 6.25 + 5a + a2 = 5.25 Factor a perfect square on the left side: (a + 2.5)(a + 2.5) = 5.25 Calculate the square root of the right side: 2.291287847 Break this problem into two subproblems by setting (a + 2.5) equal to 2.291287847 and -2.291287847.Subproblem 1
a + 2.5 = 2.291287847 Simplifying a + 2.5 = 2.291287847 Reorder the terms: 2.5 + a = 2.291287847 Solving 2.5 + a = 2.291287847 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 = 2.291287847 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = 2.291287847 + -2.5 a = 2.291287847 + -2.5 Combine like terms: 2.291287847 + -2.5 = -0.208712153 a = -0.208712153 Simplifying a = -0.208712153Subproblem 2
a + 2.5 = -2.291287847 Simplifying a + 2.5 = -2.291287847 Reorder the terms: 2.5 + a = -2.291287847 Solving 2.5 + a = -2.291287847 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 = -2.291287847 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + a = -2.291287847 + -2.5 a = -2.291287847 + -2.5 Combine like terms: -2.291287847 + -2.5 = -4.791287847 a = -4.791287847 Simplifying a = -4.791287847Solution
The solution to the problem is based on the solutions from the subproblems. a = {-0.208712153, -4.791287847}
| 14x-3+12x+11=180 | | 4w=o | | 15v-4v-9v=12 | | 5x-3y-3x+y= | | 3(2x-1)+2(x-3)= | | 12x+8y=9 | | 4y+3=28-x | | 4v+2=10 | | 10m+15-3m=-8m-2-130 | | 9b^2-46b-48=0 | | 5a+7whena=4 | | 180-5x=120 | | 2b+7=-1(3+-2b) | | -4x-2x=12 | | 2(2b-6)+4=4b-8 | | 14x-50=16x-49-2x-1 | | -10=3-x | | -4x-2x=-12 | | 1-(-3)=4 | | (-1.1)+x=-2.3 | | 2y=67-z | | 3g-200g=480 | | 11+9c=-4 | | 3x+6(4x-4)=192 | | Y-(-3)=4 | | d+3.37-1.26=5.86 | | 10v^2+23v-42=0 | | .3x^2-3x-126=0 | | sin(x+15)cos(x-15)=0.5 | | 36=12t+14-4t | | 8+a=-11 | | 4w-2=11 |