If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3a2 + 5a + -6) + -1(2a2 + -3a + -9) = 0 Reorder the terms: (-6 + 5a + 3a2) + -1(2a2 + -3a + -9) = 0 Remove parenthesis around (-6 + 5a + 3a2) -6 + 5a + 3a2 + -1(2a2 + -3a + -9) = 0 Reorder the terms: -6 + 5a + 3a2 + -1(-9 + -3a + 2a2) = 0 -6 + 5a + 3a2 + (-9 * -1 + -3a * -1 + 2a2 * -1) = 0 -6 + 5a + 3a2 + (9 + 3a + -2a2) = 0 Reorder the terms: -6 + 9 + 5a + 3a + 3a2 + -2a2 = 0 Combine like terms: -6 + 9 = 3 3 + 5a + 3a + 3a2 + -2a2 = 0 Combine like terms: 5a + 3a = 8a 3 + 8a + 3a2 + -2a2 = 0 Combine like terms: 3a2 + -2a2 = 1a2 3 + 8a + 1a2 = 0 Solving 3 + 8a + 1a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 8a + -3 + a2 = 0 + -3 Reorder the terms: 3 + -3 + 8a + a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8a + a2 = 0 + -3 8a + a2 = 0 + -3 Combine like terms: 0 + -3 = -3 8a + a2 = -3 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 = -3 + 16 Reorder the terms: 16 + 8a + a2 = -3 + 16 Combine like terms: -3 + 16 = 13 16 + 8a + a2 = 13 Factor a perfect square on the left side: (a + 4)(a + 4) = 13 Calculate the square root of the right side: 3.605551275 Break this problem into two subproblems by setting (a + 4) equal to 3.605551275 and -3.605551275.Subproblem 1
a + 4 = 3.605551275 Simplifying a + 4 = 3.605551275 Reorder the terms: 4 + a = 3.605551275 Solving 4 + a = 3.605551275 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 = 3.605551275 + -4 Combine like terms: 4 + -4 = 0 0 + a = 3.605551275 + -4 a = 3.605551275 + -4 Combine like terms: 3.605551275 + -4 = -0.394448725 a = -0.394448725 Simplifying a = -0.394448725Subproblem 2
a + 4 = -3.605551275 Simplifying a + 4 = -3.605551275 Reorder the terms: 4 + a = -3.605551275 Solving 4 + a = -3.605551275 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 = -3.605551275 + -4 Combine like terms: 4 + -4 = 0 0 + a = -3.605551275 + -4 a = -3.605551275 + -4 Combine like terms: -3.605551275 + -4 = -7.605551275 a = -7.605551275 Simplifying a = -7.605551275Solution
The solution to the problem is based on the solutions from the subproblems. a = {-0.394448725, -7.605551275}
| 3x^2-21x+2x-14=6x-11 | | -18x+5(8+3x)=7(3x-8) | | 24p(p)-55p-24=0 | | 7y+13x-4=0 | | x^4+6x^3+2x^2=0 | | 5(r-1)=1(r-4)-6 | | 6-8x+12=20 | | 3.7z-3.3=-7 | | -(2t-0.07)=0.9(1.4-t) | | 12x-15=-3 | | 5y-14=7p+4 | | 40+15+.25x=45+45+.35x | | 18x+24=4(3x+4)+6x+8 | | 4(3+5)= | | 2(3-4z)-5(2z+3)=z-17 | | -3x/4-3=-12 | | 40+15+.25=45+45+.35 | | =5mn-3n+10m-6 | | X^2=15x-36 | | 2x-5=29 | | -(9n-2)-15-(-n)=0 | | 4x-2x+3=-3x+x-1 | | 4x-12=3+8x-5 | | -7x-8x=-9 | | 3+(t+4)-t=6T | | 9a-5a-4+4=3a+7-15 | | 0.2x+.05(12-x)=.10(27) | | 20x-5=4x+6 | | 7x-y=2 | | 7-N=63 | | x/3-4=6 | | 8x=-2x-41 |