If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4a2 + -14a + -21 = 0 Reorder the terms: -21 + -14a + 4a2 = 0 Solving -21 + -14a + 4a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -5.25 + -3.5a + a2 = 0 Move the constant term to the right: Add '5.25' to each side of the equation. -5.25 + -3.5a + 5.25 + a2 = 0 + 5.25 Reorder the terms: -5.25 + 5.25 + -3.5a + a2 = 0 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + -3.5a + a2 = 0 + 5.25 -3.5a + a2 = 0 + 5.25 Combine like terms: 0 + 5.25 = 5.25 -3.5a + a2 = 5.25 The a term is -3.5a. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5a + 3.0625 + a2 = 5.25 + 3.0625 Reorder the terms: 3.0625 + -3.5a + a2 = 5.25 + 3.0625 Combine like terms: 5.25 + 3.0625 = 8.3125 3.0625 + -3.5a + a2 = 8.3125 Factor a perfect square on the left side: (a + -1.75)(a + -1.75) = 8.3125 Calculate the square root of the right side: 2.883140649 Break this problem into two subproblems by setting (a + -1.75) equal to 2.883140649 and -2.883140649.Subproblem 1
a + -1.75 = 2.883140649 Simplifying a + -1.75 = 2.883140649 Reorder the terms: -1.75 + a = 2.883140649 Solving -1.75 + a = 2.883140649 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + a = 2.883140649 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + a = 2.883140649 + 1.75 a = 2.883140649 + 1.75 Combine like terms: 2.883140649 + 1.75 = 4.633140649 a = 4.633140649 Simplifying a = 4.633140649Subproblem 2
a + -1.75 = -2.883140649 Simplifying a + -1.75 = -2.883140649 Reorder the terms: -1.75 + a = -2.883140649 Solving -1.75 + a = -2.883140649 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + a = -2.883140649 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + a = -2.883140649 + 1.75 a = -2.883140649 + 1.75 Combine like terms: -2.883140649 + 1.75 = -1.133140649 a = -1.133140649 Simplifying a = -1.133140649Solution
The solution to the problem is based on the solutions from the subproblems. a = {4.633140649, -1.133140649}
| 11=-7x-2+8x | | 3x-(2+x)=7(x-7)-13 | | 30=3(x-20) | | 81x^2-13689=0 | | 14=-x+18 | | 6.25E-4= | | 6(x+1)=42 | | 84x^2-13689=0 | | x^4-15x^3+56x^2= | | y=12t^2-48t+55 | | 5d+4=4+-d | | -3+9(x-2)=14x+5-5x | | -8-9x^2=-548 | | 5(4x-2)+5=-1 | | 3/8y*5/6 | | 4(x-2)-2(x+1)=0 | | 7+4.9=15+7.6t | | 16x^2-4096=0 | | x^3+3x^2(-4x)(-12)=0 | | 5x^2=-63-52x | | 3m+15=3m+11 | | X/42=22 | | 5x+2=-4+3x+10 | | 5n=95 | | X-98=214 | | 195=13x | | X+4.4=0.2 | | 12790/-7625 | | 12790/185 | | 7-4.9=15+7.6 | | 9x+4=3x+14 | | 5r-1/5=4/6 |