If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + 4a + -169 = 0 Reorder the terms: -169 + 4a + a2 = 0 Solving -169 + 4a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '169' to each side of the equation. -169 + 4a + 169 + a2 = 0 + 169 Reorder the terms: -169 + 169 + 4a + a2 = 0 + 169 Combine like terms: -169 + 169 = 0 0 + 4a + a2 = 0 + 169 4a + a2 = 0 + 169 Combine like terms: 0 + 169 = 169 4a + a2 = 169 The a term is 4a. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4a + 4 + a2 = 169 + 4 Reorder the terms: 4 + 4a + a2 = 169 + 4 Combine like terms: 169 + 4 = 173 4 + 4a + a2 = 173 Factor a perfect square on the left side: (a + 2)(a + 2) = 173 Calculate the square root of the right side: 13.152946438 Break this problem into two subproblems by setting (a + 2) equal to 13.152946438 and -13.152946438.Subproblem 1
a + 2 = 13.152946438 Simplifying a + 2 = 13.152946438 Reorder the terms: 2 + a = 13.152946438 Solving 2 + a = 13.152946438 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 13.152946438 + -2 Combine like terms: 2 + -2 = 0 0 + a = 13.152946438 + -2 a = 13.152946438 + -2 Combine like terms: 13.152946438 + -2 = 11.152946438 a = 11.152946438 Simplifying a = 11.152946438Subproblem 2
a + 2 = -13.152946438 Simplifying a + 2 = -13.152946438 Reorder the terms: 2 + a = -13.152946438 Solving 2 + a = -13.152946438 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = -13.152946438 + -2 Combine like terms: 2 + -2 = 0 0 + a = -13.152946438 + -2 a = -13.152946438 + -2 Combine like terms: -13.152946438 + -2 = -15.152946438 a = -15.152946438 Simplifying a = -15.152946438Solution
The solution to the problem is based on the solutions from the subproblems. a = {11.152946438, -15.152946438}
| 81w+7=63w-306 | | 7x+5(x-3)+10=x(2-6x)+2x(3+3x)+3 | | 8(x+2)-6x=2x+2(2x-1)+6x-12 | | 62=-2x-5(2x+2) | | x^(1/5) | | 12b-1=3b-19 | | 300+(x-.7)=40+(y-.9) | | X-15=-60 | | 300+(x-.7)=40(y-.9) | | (x-2)x+(y-10)y+26=0 | | 20=m+7(over)5 | | 25w+12=w-25 | | -108+3x=-5x+116 | | 96=2p-48 | | 7c+6=62 | | -108+3x=5x+116 | | cos*2*x+cos*x-sin*x=0 | | -34z-89=z-41 | | 4y+34=28+8y | | -5(4-5b)=19b+4 | | -5b(4-5b)=19b+4 | | 1x^2+10x+26=0 | | 3ab*7a= | | 16s-19s-7=17 | | 5x+5=-23-2x | | -4x-9=-5x+4 | | 6x-50=54-2x | | -18-2x=10-6x | | -85y-49=y-58 | | 5x-16=16+x | | 5-4z=17 | | -29+4x=x+13 |