2(-5a^2+8a-12)-(a^2-3a-7)=

Simple and best practice solution for 2(-5a^2+8a-12)-(a^2-3a-7)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2(-5a^2+8a-12)-(a^2-3a-7)= equation: 


Simplifying
2(-5a2 + 8a + -12) + -1(a2 + -3a + -7) = 0

Reorder the terms:
2(-12 + 8a + -5a2) + -1(a2 + -3a + -7) = 0
(-12 * 2 + 8a * 2 + -5a2 * 2) + -1(a2 + -3a + -7) = 0
(-24 + 16a + -10a2) + -1(a2 + -3a + -7) = 0

Reorder the terms:
-24 + 16a + -10a2 + -1(-7 + -3a + a2) = 0
-24 + 16a + -10a2 + (-7 * -1 + -3a * -1 + a2 * -1) = 0
-24 + 16a + -10a2 + (7 + 3a + -1a2) = 0

Reorder the terms:
-24 + 7 + 16a + 3a + -10a2 + -1a2 = 0

Combine like terms: -24 + 7 = -17
-17 + 16a + 3a + -10a2 + -1a2 = 0

Combine like terms: 16a + 3a = 19a
-17 + 19a + -10a2 + -1a2 = 0

Combine like terms: -10a2 + -1a2 = -11a2
-17 + 19a + -11a2 = 0

Solving
-17 + 19a + -11a2 = 0

Solving for variable 'a'.

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
1.545454545 + -1.727272727a + a2 = 0

Move the constant term to the right:

Add '-1.545454545' to each side of the equation.
1.545454545 + -1.727272727a + -1.545454545 + a2 = 0 + -1.545454545

Reorder the terms:
1.545454545 + -1.545454545 + -1.727272727a + a2 = 0 + -1.545454545

Combine like terms: 1.545454545 + -1.545454545 = 0.000000000
0.000000000 + -1.727272727a + a2 = 0 + -1.545454545
-1.727272727a + a2 = 0 + -1.545454545

Combine like terms: 0 + -1.545454545 = -1.545454545
-1.727272727a + a2 = -1.545454545

The a term is -1.727272727a.  Take half its coefficient (-0.8636363635).
Square it (0.7458677684) and add it to both sides.

Add '0.7458677684' to each side of the equation.
-1.727272727a + 0.7458677684 + a2 = -1.545454545 + 0.7458677684

Reorder the terms:
0.7458677684 + -1.727272727a + a2 = -1.545454545 + 0.7458677684

Combine like terms: -1.545454545 + 0.7458677684 = -0.7995867766
0.7458677684 + -1.727272727a + a2 = -0.7995867766

Factor a perfect square on the left side:
(a + -0.8636363635)(a + -0.8636363635) = -0.7995867766

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3-(8x+6)=3 | | 0x-3=0 | | 0y-3=0 | | 4x-8-3(x-5)=3(x-1) | | y-15=32 | | -11nk^2+5nk-6y=0 | | 2[1-3(x+2)]=-x | | 54-4x=14x+22 | | 2d-17=3d+8 | | 3(y+7)+4=43 | | 142-7x=20x+22 | | q+3q=2q-6 | | x+1=-15 | | -4r+5=-3r+9 | | 3(-8x)+8=80 | | 3z-3(1-z)=z-17 | | -8h-1=-33 | | 9(y-4)-3y=6(y-6) | | 90+4x+x=180 | | 15=-2p+27 | | -6(-x-10)=10(-x-10) | | 8x-9x=73-82 | | 0.50x+0.15(70)=48.5 | | 35+x=18 | | -7(3a+10)=0 | | 4(w+1)=6-2(1-2w) | | y-81=-12 | | -8y+12=-28 | | 61+x=5 | | 9+8x=72+8 | | 3x-2x=-3-2x | | 19=4n+7 |

Equations solver categories