If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + -8a + -45 = 0 Reorder the terms: -45 + -8a + a2 = 0 Solving -45 + -8a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '45' to each side of the equation. -45 + -8a + 45 + a2 = 0 + 45 Reorder the terms: -45 + 45 + -8a + a2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -8a + a2 = 0 + 45 -8a + a2 = 0 + 45 Combine like terms: 0 + 45 = 45 -8a + a2 = 45 The a term is -8a. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8a + 16 + a2 = 45 + 16 Reorder the terms: 16 + -8a + a2 = 45 + 16 Combine like terms: 45 + 16 = 61 16 + -8a + a2 = 61 Factor a perfect square on the left side: (a + -4)(a + -4) = 61 Calculate the square root of the right side: 7.810249676 Break this problem into two subproblems by setting (a + -4) equal to 7.810249676 and -7.810249676.Subproblem 1
a + -4 = 7.810249676 Simplifying a + -4 = 7.810249676 Reorder the terms: -4 + a = 7.810249676 Solving -4 + a = 7.810249676 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a = 7.810249676 + 4 Combine like terms: -4 + 4 = 0 0 + a = 7.810249676 + 4 a = 7.810249676 + 4 Combine like terms: 7.810249676 + 4 = 11.810249676 a = 11.810249676 Simplifying a = 11.810249676Subproblem 2
a + -4 = -7.810249676 Simplifying a + -4 = -7.810249676 Reorder the terms: -4 + a = -7.810249676 Solving -4 + a = -7.810249676 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a = -7.810249676 + 4 Combine like terms: -4 + 4 = 0 0 + a = -7.810249676 + 4 a = -7.810249676 + 4 Combine like terms: -7.810249676 + 4 = -3.810249676 a = -3.810249676 Simplifying a = -3.810249676Solution
The solution to the problem is based on the solutions from the subproblems. a = {11.810249676, -3.810249676}
| 0.1+(-0.1)= | | (5c-3)(c+5)=0 | | 8t-8=4(t+2) | | 22x-15x=14 | | (20x-24)+(y+10)=180 | | 9b+10j=10 | | (20x-24)=(y+10) | | 10y+9j=10 | | 4x+3y=37 | | 4x+(x-8)=112 | | 9b+10y=10 | | 3p-3r=10 | | 3x+36=11-2x | | (x-5)(x+5)=100 | | (7y-10)+(15x+10y)=180 | | 2b-4-5b-3= | | 7+14x= | | (x^2+5x+25)= | | 6x=5a | | (12x)+(96)+(142)+(20x-24)+(70)=540 | | x(55+3.75)=x(75+2.50) | | 2cos(x)+3.4=2.1 | | 28x-21=29x | | 45x+30=35x+50 | | 5n-6m-3=6m+n | | -8.1-3z-3.3-z=-3z+1.8 | | x^2=12x+56 | | Log[2](9x+5)=2+log[2](x^2-1) | | -3.3-6y-5.4-3y=-8y-1.8 | | (3y^2+8y-1)-(3y^2+2)=5 | | 3x^2+2x^3-9x^2+4=0 | | 6y+3=12+3 |