If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + 6a = -3 Reorder the terms: 6a + a2 = -3 Solving 6a + a2 = -3 Solving for variable 'a'. Reorder the terms: 3 + 6a + a2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + 6a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 6a + -3 + a2 = 0 + -3 Reorder the terms: 3 + -3 + 6a + a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6a + a2 = 0 + -3 6a + a2 = 0 + -3 Combine like terms: 0 + -3 = -3 6a + a2 = -3 The a term is 6a. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6a + 9 + a2 = -3 + 9 Reorder the terms: 9 + 6a + a2 = -3 + 9 Combine like terms: -3 + 9 = 6 9 + 6a + a2 = 6 Factor a perfect square on the left side: (a + 3)(a + 3) = 6 Calculate the square root of the right side: 2.449489743 Break this problem into two subproblems by setting (a + 3) equal to 2.449489743 and -2.449489743.Subproblem 1
a + 3 = 2.449489743 Simplifying a + 3 = 2.449489743 Reorder the terms: 3 + a = 2.449489743 Solving 3 + a = 2.449489743 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 2.449489743 + -3 Combine like terms: 3 + -3 = 0 0 + a = 2.449489743 + -3 a = 2.449489743 + -3 Combine like terms: 2.449489743 + -3 = -0.550510257 a = -0.550510257 Simplifying a = -0.550510257Subproblem 2
a + 3 = -2.449489743 Simplifying a + 3 = -2.449489743 Reorder the terms: 3 + a = -2.449489743 Solving 3 + a = -2.449489743 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = -2.449489743 + -3 Combine like terms: 3 + -3 = 0 0 + a = -2.449489743 + -3 a = -2.449489743 + -3 Combine like terms: -2.449489743 + -3 = -5.449489743 a = -5.449489743 Simplifying a = -5.449489743Solution
The solution to the problem is based on the solutions from the subproblems. a = {-0.550510257, -5.449489743}
| 13-9x=106-30x | | 0.60x+.05(2-x)=.10(-98) | | -156-10=8x+24 | | 2(8s+5)-6s=2(5s+3)-7 | | 16x^2-19x+18=0 | | -2p+8=5-(7p+4) | | 3x+7=8x+13 | | 11x+=5x+37 | | 0.3(x+70)+1.5x=102 | | 3+p=9 | | -(3y+4)-(-2y-7)=-2 | | 144x^2-169y^2=0 | | 0.70x+.05(6-x)=.10(16) | | 8x^2+11xy+3y^2=0 | | x+12y+11x-13y-9= | | 8(x+5)=4(2x+3)+28 | | 4x-17=(3x-2)*4 | | 3x-3=7x+12 | | 4x=3y | | 3x-3=7x-12 | | 9x+5-4x-3+x=146 | | 2-6t-9-2t= | | -6-(2-3p)= | | -8n-9+7n= | | -[2z-(11z+1)]=1+(8z+6) | | x*0.1=20 | | -2z+11z+1=8z+6 | | 0.55x+.05(8-x)=.10(64) | | 20*x=0.1 | | -3+8x+4+(-10x)= | | -8y+(-2y)= | | 0.20(12)+0.05x=0.10(12+x) |