If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + 3a + -7 = 0 Reorder the terms: -7 + 3a + a2 = 0 Solving -7 + 3a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '7' to each side of the equation. -7 + 3a + 7 + a2 = 0 + 7 Reorder the terms: -7 + 7 + 3a + a2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3a + a2 = 0 + 7 3a + a2 = 0 + 7 Combine like terms: 0 + 7 = 7 3a + a2 = 7 The a term is 3a. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3a + 2.25 + a2 = 7 + 2.25 Reorder the terms: 2.25 + 3a + a2 = 7 + 2.25 Combine like terms: 7 + 2.25 = 9.25 2.25 + 3a + a2 = 9.25 Factor a perfect square on the left side: (a + 1.5)(a + 1.5) = 9.25 Calculate the square root of the right side: 3.041381265 Break this problem into two subproblems by setting (a + 1.5) equal to 3.041381265 and -3.041381265.Subproblem 1
a + 1.5 = 3.041381265 Simplifying a + 1.5 = 3.041381265 Reorder the terms: 1.5 + a = 3.041381265 Solving 1.5 + a = 3.041381265 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + a = 3.041381265 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + a = 3.041381265 + -1.5 a = 3.041381265 + -1.5 Combine like terms: 3.041381265 + -1.5 = 1.541381265 a = 1.541381265 Simplifying a = 1.541381265Subproblem 2
a + 1.5 = -3.041381265 Simplifying a + 1.5 = -3.041381265 Reorder the terms: 1.5 + a = -3.041381265 Solving 1.5 + a = -3.041381265 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + a = -3.041381265 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + a = -3.041381265 + -1.5 a = -3.041381265 + -1.5 Combine like terms: -3.041381265 + -1.5 = -4.541381265 a = -4.541381265 Simplifying a = -4.541381265Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.541381265, -4.541381265}
| 3y-4x=192 | | x+(-73)=-14q | | Log(81)(x+20)=log(81)(6x) | | 7x-9+8x=180 | | 8z+3=9z+6 | | 7x-9x+8x=180 | | 7y+18=811 | | 5/2y=-2y | | (Yln(y)-2xy)dx+(x+y)dy=0 | | 24-9p=6p-21 | | 17p+16q+p-3q-4p= | | 5x-3x=21 | | (9n+7)=88 | | 7x-5=10x-1x-15 | | x=(497.1+31)+x*0.8*0.3 | | 20-9x=1x+10x | | -2x-1=-9-1x | | -2x-1=-91x | | x-10=26-x | | 7.25x=43 | | 16z-5=7z-41 | | -4÷(31/2) | | -6+7h=13 | | 9x+10x=-1 | | 9n+15=3n-21 | | T/4-1=0 | | 2100x5/7= | | x^4-7X^2-12x+5=0 | | 3b+4=2 | | 2/21x14/1= | | -12u=60 | | 2/21x14= |