If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + -30a + 150 = 0 Reorder the terms: 150 + -30a + a2 = 0 Solving 150 + -30a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-150' to each side of the equation. 150 + -30a + -150 + a2 = 0 + -150 Reorder the terms: 150 + -150 + -30a + a2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -30a + a2 = 0 + -150 -30a + a2 = 0 + -150 Combine like terms: 0 + -150 = -150 -30a + a2 = -150 The a term is -30a. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30a + 225 + a2 = -150 + 225 Reorder the terms: 225 + -30a + a2 = -150 + 225 Combine like terms: -150 + 225 = 75 225 + -30a + a2 = 75 Factor a perfect square on the left side: (a + -15)(a + -15) = 75 Calculate the square root of the right side: 8.660254038 Break this problem into two subproblems by setting (a + -15) equal to 8.660254038 and -8.660254038.Subproblem 1
a + -15 = 8.660254038 Simplifying a + -15 = 8.660254038 Reorder the terms: -15 + a = 8.660254038 Solving -15 + a = 8.660254038 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + a = 8.660254038 + 15 Combine like terms: -15 + 15 = 0 0 + a = 8.660254038 + 15 a = 8.660254038 + 15 Combine like terms: 8.660254038 + 15 = 23.660254038 a = 23.660254038 Simplifying a = 23.660254038Subproblem 2
a + -15 = -8.660254038 Simplifying a + -15 = -8.660254038 Reorder the terms: -15 + a = -8.660254038 Solving -15 + a = -8.660254038 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + a = -8.660254038 + 15 Combine like terms: -15 + 15 = 0 0 + a = -8.660254038 + 15 a = -8.660254038 + 15 Combine like terms: -8.660254038 + 15 = 6.339745962 a = 6.339745962 Simplifying a = 6.339745962Solution
The solution to the problem is based on the solutions from the subproblems. a = {23.660254038, 6.339745962}
| 4x-5=2x-5 | | 5x+1= | | 7x^2y+8xy^2+y^3= | | U=G(1+rt) | | y+8+3=14 | | y=fx+s | | z^2+2z+10= | | 3x-7=3x+7 | | 6x^2-13x+5= | | 2z+5-7z=21-7z | | (x-2)(x-7)=0 | | 8-5x+2=4 | | 20x+25x^2+4= | | 2(v+3)+7v= | | 15x^2-11x+2= | | x-2+5=3 | | 14x^2+11x+2= | | ax+by=cx+d | | 5h+6h-4h= | | 8+1+x=4+5 | | 10(a+3)=9[a-(1-a)] | | 16p^4-88p^3+121p^2= | | 50=30t | | 3.6+x=0.9 | | -21x^2+64x-35= | | 8(x-2)+3-3(x-4)=3 | | 2X+1=-1 | | 27x^3+36x^2+12x= | | -1.2-3x=0.6x+6 | | 10a-2a-9=39 | | 17x^3-6x^2-11x= | | 4x+7+3x=5x+13+x |