If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16a2 + -24a + 1 = 0 Reorder the terms: 1 + -24a + 16a2 = 0 Solving 1 + -24a + 16a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.0625 + -1.5a + a2 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + -1.5a + -0.0625 + a2 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + -1.5a + a2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + -1.5a + a2 = 0 + -0.0625 -1.5a + a2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 -1.5a + a2 = -0.0625 The a term is -1.5a. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5a + 0.5625 + a2 = -0.0625 + 0.5625 Reorder the terms: 0.5625 + -1.5a + a2 = -0.0625 + 0.5625 Combine like terms: -0.0625 + 0.5625 = 0.5 0.5625 + -1.5a + a2 = 0.5 Factor a perfect square on the left side: (a + -0.75)(a + -0.75) = 0.5 Calculate the square root of the right side: 0.707106781 Break this problem into two subproblems by setting (a + -0.75) equal to 0.707106781 and -0.707106781.Subproblem 1
a + -0.75 = 0.707106781 Simplifying a + -0.75 = 0.707106781 Reorder the terms: -0.75 + a = 0.707106781 Solving -0.75 + a = 0.707106781 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + a = 0.707106781 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + a = 0.707106781 + 0.75 a = 0.707106781 + 0.75 Combine like terms: 0.707106781 + 0.75 = 1.457106781 a = 1.457106781 Simplifying a = 1.457106781Subproblem 2
a + -0.75 = -0.707106781 Simplifying a + -0.75 = -0.707106781 Reorder the terms: -0.75 + a = -0.707106781 Solving -0.75 + a = -0.707106781 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + a = -0.707106781 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + a = -0.707106781 + 0.75 a = -0.707106781 + 0.75 Combine like terms: -0.707106781 + 0.75 = 0.042893219 a = 0.042893219 Simplifying a = 0.042893219Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.457106781, 0.042893219}
| -4+2x=-8+16 | | 4(10+7x)=152 | | 2secx+8sinx=0 | | 10x^2+5x+11=9x^2-x+2 | | 4ax^2-4ax+a+c^2=0 | | 5x+7-11=26 | | cos5x=1/5 | | 4x-12=24+x | | 3x+x-2=2x+6 | | 4(2*-3)=36 | | 6p-3=2p+10 | | 11x-25=4x+3 | | x+2x=4700 | | x+2x=4000 | | 8(a-4)=16 | | 10x-131=3x-5 | | x=10x-4 | | 2x=3x+21 | | 3x+9=72-6 | | p=10p-4 | | -29.5-5b=3.5(7.5b-7) | | X/4=2x/5 | | -4.5k-8.5+6=24.5 | | 4x+2+4=30 | | (x-2)(6x+4)=0 | | 3(3+4x)=153 | | -5(6d-9.5)=-18.5 | | 5x+4=5x-8 | | 4p=2p+7 | | n-3/2=n-7/4 | | 8c-18=20 | | -4+4x=-1226x |