If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a = 26 + -3a2 Solving a = 26 + -3a2 Solving for variable 'a'. Reorder the terms: -26 + a + 3a2 = 26 + -3a2 + -26 + 3a2 Reorder the terms: -26 + a + 3a2 = 26 + -26 + -3a2 + 3a2 Combine like terms: 26 + -26 = 0 -26 + a + 3a2 = 0 + -3a2 + 3a2 -26 + a + 3a2 = -3a2 + 3a2 Combine like terms: -3a2 + 3a2 = 0 -26 + a + 3a2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -8.666666667 + 0.3333333333a + a2 = 0 Move the constant term to the right: Add '8.666666667' to each side of the equation. -8.666666667 + 0.3333333333a + 8.666666667 + a2 = 0 + 8.666666667 Reorder the terms: -8.666666667 + 8.666666667 + 0.3333333333a + a2 = 0 + 8.666666667 Combine like terms: -8.666666667 + 8.666666667 = 0.000000000 0.000000000 + 0.3333333333a + a2 = 0 + 8.666666667 0.3333333333a + a2 = 0 + 8.666666667 Combine like terms: 0 + 8.666666667 = 8.666666667 0.3333333333a + a2 = 8.666666667 The a term is a. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.3333333333a + 0.25 + a2 = 8.666666667 + 0.25 Reorder the terms: 0.25 + 0.3333333333a + a2 = 8.666666667 + 0.25 Combine like terms: 8.666666667 + 0.25 = 8.916666667 0.25 + 0.3333333333a + a2 = 8.916666667 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = 8.916666667 Calculate the square root of the right side: 2.986078811 Break this problem into two subproblems by setting (a + 0.5) equal to 2.986078811 and -2.986078811.Subproblem 1
a + 0.5 = 2.986078811 Simplifying a + 0.5 = 2.986078811 Reorder the terms: 0.5 + a = 2.986078811 Solving 0.5 + a = 2.986078811 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + a = 2.986078811 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = 2.986078811 + -0.5 a = 2.986078811 + -0.5 Combine like terms: 2.986078811 + -0.5 = 2.486078811 a = 2.486078811 Simplifying a = 2.486078811Subproblem 2
a + 0.5 = -2.986078811 Simplifying a + 0.5 = -2.986078811 Reorder the terms: 0.5 + a = -2.986078811 Solving 0.5 + a = -2.986078811 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + a = -2.986078811 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + a = -2.986078811 + -0.5 a = -2.986078811 + -0.5 Combine like terms: -2.986078811 + -0.5 = -3.486078811 a = -3.486078811 Simplifying a = -3.486078811Solution
The solution to the problem is based on the solutions from the subproblems. a = {2.486078811, -3.486078811}
| 26x+13=5(5x+1) | | 2x+51=6x-29 | | 3+1t=4 | | .5(7x+14)=1.7-(x+2) | | a=-6(-7)(-2) | | 8+2x=5x-6 | | 3y-5x=12 | | m=-2,-3,-4 | | 4v^2+17v+15=0 | | 7a+2b=4b+a | | 2x+x+2x+500=40000 | | g=-10(2)(-3) | | 6x-8x+6=x-6+12 | | x-(-7)=14 | | 8322+9281=24 | | -9=79-48 | | 5y-3x=13 | | 3n^2-20=196 | | 2[x-(2-3x)-4]=x-5 | | -3=(10)+1 | | 4n*3=30 | | 12+0.5x=18+2x | | 3x-12-5x=x+12+x | | 3.14=7x+2y | | 146+30=166 | | 2y-z/4=x | | 8x-3x+7=12 | | 4y-3x=13 | | 4n/3=30 | | 12x+9=6x+-4 | | 9j-5j=6j | | 9y+7=6y-2 |