If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + -1 = -7a Reorder the terms: -1 + a2 = -7a Solving -1 + a2 = -7a Solving for variable 'a'. Reorder the terms: -1 + 7a + a2 = -7a + 7a Combine like terms: -7a + 7a = 0 -1 + 7a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + 7a + 1 + a2 = 0 + 1 Reorder the terms: -1 + 1 + 7a + a2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7a + a2 = 0 + 1 7a + a2 = 0 + 1 Combine like terms: 0 + 1 = 1 7a + a2 = 1 The a term is 7a. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7a + 12.25 + a2 = 1 + 12.25 Reorder the terms: 12.25 + 7a + a2 = 1 + 12.25 Combine like terms: 1 + 12.25 = 13.25 12.25 + 7a + a2 = 13.25 Factor a perfect square on the left side: (a + 3.5)(a + 3.5) = 13.25 Calculate the square root of the right side: 3.640054945 Break this problem into two subproblems by setting (a + 3.5) equal to 3.640054945 and -3.640054945.Subproblem 1
a + 3.5 = 3.640054945 Simplifying a + 3.5 = 3.640054945 Reorder the terms: 3.5 + a = 3.640054945 Solving 3.5 + a = 3.640054945 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + a = 3.640054945 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + a = 3.640054945 + -3.5 a = 3.640054945 + -3.5 Combine like terms: 3.640054945 + -3.5 = 0.140054945 a = 0.140054945 Simplifying a = 0.140054945Subproblem 2
a + 3.5 = -3.640054945 Simplifying a + 3.5 = -3.640054945 Reorder the terms: 3.5 + a = -3.640054945 Solving 3.5 + a = -3.640054945 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + a = -3.640054945 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + a = -3.640054945 + -3.5 a = -3.640054945 + -3.5 Combine like terms: -3.640054945 + -3.5 = -7.140054945 a = -7.140054945 Simplifying a = -7.140054945Solution
The solution to the problem is based on the solutions from the subproblems. a = {0.140054945, -7.140054945}
| (2x-3)-(x-2)=1 | | x^2-22x+66=0 | | 6x+2=6(x+8) | | y=(7x+6)(x-4) | | 12x+48y-42= | | 5v+40=4v+50 | | 6x+19y=1 | | 12k^2-21=0 | | A=3.14(25) | | 3x-2(2x+2)=5 | | 25v^2=9 | | 2b-4=-6 | | x(4-t^2)=3t-5 | | 32-2s=j | | 5x+3(2x+2)=22 | | 3.7+10m=8.85 | | 7r+11=10 | | 4n+30=n(4n+30) | | 9x+12=-3x-17 | | 8x-50+3x-10=180 | | .9x-.6(x-3)=.3(x-6) | | 3x+5-2x=2x+3 | | 0.2x-500=y | | -x^2+20-8x=0 | | 0.5X-500=y | | 17+4y-2=16y-9-4y | | .9x-.06(x-3)=.3(x-6) | | -(3x-15)+4(6x+4)= | | 2p(x-y)-3q(y-x)= | | 26=10c-4 | | 3x-3(3x+3)=25 | | 7=13-2j |