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 = 8 Reorder the terms: 3a + a2 = 8 Solving 3a + a2 = 8 Solving for variable 'a'. Reorder the terms: -8 + 3a + a2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 3a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '8' to each side of the equation. -8 + 3a + 8 + a2 = 0 + 8 Reorder the terms: -8 + 8 + 3a + a2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3a + a2 = 0 + 8 3a + a2 = 0 + 8 Combine like terms: 0 + 8 = 8 3a + a2 = 8 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 = 8 + 2.25 Reorder the terms: 2.25 + 3a + a2 = 8 + 2.25 Combine like terms: 8 + 2.25 = 10.25 2.25 + 3a + a2 = 10.25 Factor a perfect square on the left side: (a + 1.5)(a + 1.5) = 10.25 Calculate the square root of the right side: 3.201562119 Break this problem into two subproblems by setting (a + 1.5) equal to 3.201562119 and -3.201562119.Subproblem 1
a + 1.5 = 3.201562119 Simplifying a + 1.5 = 3.201562119 Reorder the terms: 1.5 + a = 3.201562119 Solving 1.5 + a = 3.201562119 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 = 3.201562119 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + a = 3.201562119 + -1.5 a = 3.201562119 + -1.5 Combine like terms: 3.201562119 + -1.5 = 1.701562119 a = 1.701562119 Simplifying a = 1.701562119Subproblem 2
a + 1.5 = -3.201562119 Simplifying a + 1.5 = -3.201562119 Reorder the terms: 1.5 + a = -3.201562119 Solving 1.5 + a = -3.201562119 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 = -3.201562119 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + a = -3.201562119 + -1.5 a = -3.201562119 + -1.5 Combine like terms: -3.201562119 + -1.5 = -4.701562119 a = -4.701562119 Simplifying a = -4.701562119Solution
The solution to the problem is based on the solutions from the subproblems. a = {1.701562119, -4.701562119}
| -9x-(-2)=-70 | | 3w+2+w=-4 | | 37x+1= | | -4v-5(2v-3)=28-v | | -2x+2=8-3x | | -39=-3(4+x) | | 6x+32+2x+108=180 | | 2(c-6)=9c+12 | | 2(-1+7x)=-114 | | 200m-100m+48250=50500-150m | | 10-t=4t | | 6xy-7xz+8x+3=-6y+6 | | 6b-4=8b-11 | | 5y-21=-7 | | 3+x-7x=-9 | | -101+9x=109+2x | | 3+x-7x=9 | | 6-4(2x-5)=90 | | 9-3x+3=5x+4 | | 2x^2+3x+1=91 | | -3=12-x | | 5x-0.44=4x+0.11 | | Xn=4j-5n | | 7(-4x+9)=-49 | | 2x^2+3x+90=0 | | 2(2x+3)=2(3-y)+6x | | -16t^2+208t+550=0 | | 7x-63=-x+121 | | -3=21-x | | 4(-9+3x)=-48 | | 12x-17=5x+19 | | M-7(2m-7)=140 |