If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 1 + -6a + 54a + 3a2 = 0 Combine like terms: -6a + 54a = 48a 1 + 48a + 3a2 = 0 Solving 1 + 48a + 3a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + 16a + a2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 16a + -0.3333333333 + a2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 16a + a2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 16a + a2 = 0 + -0.3333333333 16a + a2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 16a + a2 = -0.3333333333 The a term is 16a. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16a + 64 + a2 = -0.3333333333 + 64 Reorder the terms: 64 + 16a + a2 = -0.3333333333 + 64 Combine like terms: -0.3333333333 + 64 = 63.6666666667 64 + 16a + a2 = 63.6666666667 Factor a perfect square on the left side: (a + 8)(a + 8) = 63.6666666667 Calculate the square root of the right side: 7.979139469 Break this problem into two subproblems by setting (a + 8) equal to 7.979139469 and -7.979139469.Subproblem 1
a + 8 = 7.979139469 Simplifying a + 8 = 7.979139469 Reorder the terms: 8 + a = 7.979139469 Solving 8 + a = 7.979139469 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + a = 7.979139469 + -8 Combine like terms: 8 + -8 = 0 0 + a = 7.979139469 + -8 a = 7.979139469 + -8 Combine like terms: 7.979139469 + -8 = -0.020860531 a = -0.020860531 Simplifying a = -0.020860531Subproblem 2
a + 8 = -7.979139469 Simplifying a + 8 = -7.979139469 Reorder the terms: 8 + a = -7.979139469 Solving 8 + a = -7.979139469 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + a = -7.979139469 + -8 Combine like terms: 8 + -8 = 0 0 + a = -7.979139469 + -8 a = -7.979139469 + -8 Combine like terms: -7.979139469 + -8 = -15.979139469 a = -15.979139469 Simplifying a = -15.979139469Solution
The solution to the problem is based on the solutions from the subproblems. a = {-0.020860531, -15.979139469}
| y=5x^4-7x^2+7 | | (9x^2-x+5)(-7x-7)= | | 2a-3b+4ac-4a-4c= | | 2x^2+4x+110=0 | | 200=400p | | 12x-17=12x+8 | | 125=e^3 | | x^2+3xy+y^2+2x^2+5xy-y^2= | | -x^2-20x-53=0 | | (6x-3y+2)dx-(2x-y-1)dy=0 | | 5/8x=7 | | x^2+20x+53=0 | | x^2+23x+53=0 | | 5x+9x-7=9x-2x-x | | 9x^2-3x+2+x^2-4x= | | 4X+3-x=7 | | 3+7+x=4+6 | | 5/3-7/4= | | 30m^4+36m^6= | | 4(x+6)-12= | | 7m+5n+5m-n= | | 100=x*1/3x | | 5y-5+2y+7= | | Y-4y=9 | | 6v-32.3=6.1 | | 3x^4+5x^2+12=0 | | 1.1=13.9-8u | | 486x^4-96x^2y^2=0 | | x+y-30=0 | | 15.2=-2.3+7y | | x+y-2=30 | | -2e+20=3e+5 |