If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = a2 + -6a + -38 Reorder the terms: 0 = -38 + -6a + a2 Solving 0 = -38 + -6a + a2 Solving for variable 'a'. Combine like terms: 0 + 38 = 38 38 + 6a + -1a2 = -38 + -6a + a2 + 38 + 6a + -1a2 Reorder the terms: 38 + 6a + -1a2 = -38 + 38 + -6a + 6a + a2 + -1a2 Combine like terms: -38 + 38 = 0 38 + 6a + -1a2 = 0 + -6a + 6a + a2 + -1a2 38 + 6a + -1a2 = -6a + 6a + a2 + -1a2 Combine like terms: -6a + 6a = 0 38 + 6a + -1a2 = 0 + a2 + -1a2 38 + 6a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 38 + 6a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -38 + -6a + a2 = 0 Move the constant term to the right: Add '38' to each side of the equation. -38 + -6a + 38 + a2 = 0 + 38 Reorder the terms: -38 + 38 + -6a + a2 = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -6a + a2 = 0 + 38 -6a + a2 = 0 + 38 Combine like terms: 0 + 38 = 38 -6a + a2 = 38 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 = 38 + 9 Reorder the terms: 9 + -6a + a2 = 38 + 9 Combine like terms: 38 + 9 = 47 9 + -6a + a2 = 47 Factor a perfect square on the left side: (a + -3)(a + -3) = 47 Calculate the square root of the right side: 6.8556546 Break this problem into two subproblems by setting (a + -3) equal to 6.8556546 and -6.8556546.Subproblem 1
a + -3 = 6.8556546 Simplifying a + -3 = 6.8556546 Reorder the terms: -3 + a = 6.8556546 Solving -3 + a = 6.8556546 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 = 6.8556546 + 3 Combine like terms: -3 + 3 = 0 0 + a = 6.8556546 + 3 a = 6.8556546 + 3 Combine like terms: 6.8556546 + 3 = 9.8556546 a = 9.8556546 Simplifying a = 9.8556546Subproblem 2
a + -3 = -6.8556546 Simplifying a + -3 = -6.8556546 Reorder the terms: -3 + a = -6.8556546 Solving -3 + a = -6.8556546 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 = -6.8556546 + 3 Combine like terms: -3 + 3 = 0 0 + a = -6.8556546 + 3 a = -6.8556546 + 3 Combine like terms: -6.8556546 + 3 = -3.8556546 a = -3.8556546 Simplifying a = -3.8556546Solution
The solution to the problem is based on the solutions from the subproblems. a = {9.8556546, -3.8556546}
| 9y^2-9y-10=0 | | 6x-57=81 | | 8x-15x=25-24 | | 8x-15x=24-25 | | f(x)=3x+15000 | | 3(c-4)=48 | | x^6-9x^2+7=0 | | 2t^2+19t-9=0 | | 3(4x+4)=-96 | | 2x^3+60x^2=20z | | 12x-79-(4x-15)=0 | | 5(10x-57)=5(5x-7) | | 10x-14=-22+2x | | 3x-11=3(x+8) | | [X+15]-6=-14 | | 1/2(6y+10)=-4 | | 6(3x-2)=2(2x-6) | | x^8-5x^7+16x^6-14x^5+25x^4-83x^3+242x^2-292x+200=0 | | -4.8-4.8=0 | | -10x-5=-10(x-12) | | 4a+6b-3c=13 | | 7x-16x=55+26 | | x+4-7=3x-2 | | 3x-50+8(x-2)=0 | | 15x-12x=60+3 | | 4(2n-3)=12 | | 6x-5x+11x=73-13 | | (-4x-17)+(5x+3)= | | 32-x=5x | | -11w-18=26 | | 9n-6=11 | | x+2x=376 |