If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2a2 + -5a + -1 = 0 Reorder the terms: -1 + -5a + 2a2 = 0 Solving -1 + -5a + 2a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + -2.5a + a2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + -2.5a + 0.5 + a2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + -2.5a + a2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -2.5a + a2 = 0 + 0.5 -2.5a + a2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -2.5a + a2 = 0.5 The a term is -2.5a. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5a + 1.5625 + a2 = 0.5 + 1.5625 Reorder the terms: 1.5625 + -2.5a + a2 = 0.5 + 1.5625 Combine like terms: 0.5 + 1.5625 = 2.0625 1.5625 + -2.5a + a2 = 2.0625 Factor a perfect square on the left side: (a + -1.25)(a + -1.25) = 2.0625 Calculate the square root of the right side: 1.436140662 Break this problem into two subproblems by setting (a + -1.25) equal to 1.436140662 and -1.436140662.Subproblem 1
a + -1.25 = 1.436140662 Simplifying a + -1.25 = 1.436140662 Reorder the terms: -1.25 + a = 1.436140662 Solving -1.25 + a = 1.436140662 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + a = 1.436140662 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + a = 1.436140662 + 1.25 a = 1.436140662 + 1.25 Combine like terms: 1.436140662 + 1.25 = 2.686140662 a = 2.686140662 Simplifying a = 2.686140662Subproblem 2
a + -1.25 = -1.436140662 Simplifying a + -1.25 = -1.436140662 Reorder the terms: -1.25 + a = -1.436140662 Solving -1.25 + a = -1.436140662 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + a = -1.436140662 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + a = -1.436140662 + 1.25 a = -1.436140662 + 1.25 Combine like terms: -1.436140662 + 1.25 = -0.186140662 a = -0.186140662 Simplifying a = -0.186140662Solution
The solution to the problem is based on the solutions from the subproblems. a = {2.686140662, -0.186140662}
| 3x^2-x-3=0 | | 5x+16=13x-64 | | 8x-x+1=8 | | x=4x^2-64 | | w+6=56 | | 15x^2-17xy-4y^2= | | 3n^2-2n=2 | | 0=230-45x | | 2x=-3y-11 | | x^4-x^3-10x^2-2x-24=0 | | -12/-3= | | x^4-3*x^2+2=0 | | 10b^2+7b-12=0 | | y^2-y=2 | | G(x)=4x^3-12x^2+8x | | y^2+3y=4 | | 2(3y+8)-y= | | 2y^2=5y-3 | | n^2+6=-5n | | s=50t-gt^2 | | 15x-1=-4x+3x+15 | | y^3+11y^2+28y= | | 9c+d-3c+9d= | | a^2+4a=5 | | X^2+16x+28= | | 1*x^3+2*x^2+3*x+4=0 | | x+78=21 | | 15c^2-19c+6= | | 14x-(8+3x)*5=0 | | 3(x+0.6)=5x-3 | | 4r^2=0.6r+0.5 | | a^2+0.7a-0.1=0 |