34a(-20a+-8)=36

Simple and best practice solution for 34a(-20a+-8)=36 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 34a(-20a+-8)=36 equation: 


Simplifying
34a(-20a + -8) = 36

Reorder the terms:
34a(-8 + -20a) = 36
(-8 * 34a + -20a * 34a) = 36
(-272a + -680a2) = 36

Solving
-272a + -680a2 = 36

Solving for variable 'a'.

Reorder the terms:
-36 + -272a + -680a2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -272a + -680a2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(9 + 68a + 170a2) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(9 + 68a + 170a2)' equal to zero and attempt to solve:

Simplifying
9 + 68a + 170a2 = 0

Solving
9 + 68a + 170a2 = 0

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

Divide each side by '170'.
0.05294117647 + 0.4a + a2 = 0.0

Move the constant term to the right:

Add '-0.05294117647' to each side of the equation.
0.05294117647 + 0.4a + -0.05294117647 + a2 = 0.0 + -0.05294117647

Reorder the terms:
0.05294117647 + -0.05294117647 + 0.4a + a2 = 0.0 + -0.05294117647

Combine like terms: 0.05294117647 + -0.05294117647 = 0.00000000000
0.00000000000 + 0.4a + a2 = 0.0 + -0.05294117647
0.4a + a2 = 0.0 + -0.05294117647

Combine like terms: 0.0 + -0.05294117647 = -0.05294117647
0.4a + a2 = -0.05294117647

The a term is 0.4a.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4a + 0.04 + a2 = -0.05294117647 + 0.04

Reorder the terms:
0.04 + 0.4a + a2 = -0.05294117647 + 0.04

Combine like terms: -0.05294117647 + 0.04 = -0.01294117647
0.04 + 0.4a + a2 = -0.01294117647

Factor a perfect square on the left side:
(a + 0.2)(a + 0.2) = -0.01294117647

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| x^12=12x | | 3.17x-0.08= | | 6p-19=35 | | u*10+-81=-90 | | 3(3x-1)-3(2x)=4 | | y+7=2(x+4) | | 4c-2=-10 | | -4(4g-3)=60 | | 8.2-2.1x=183 | | 4/5x-4=1/5x+5 | | a^2-13a+32=-8 | | 3x-y=-6fory | | f(x)=2[2x-(3x-6)]-8(x-6) | | x^2+12x-90=0 | | 8.2-2.1=183 | | P=5x-6 | | 144=3x(x-2) | | 3x^2-15x+95=0 | | 0.4x-0.9x-29=1 | | 4(3n-1)=(9n+1)+6 | | n+144=-55 | | 9+2(1+2(2x-2))=6(x+9) | | 5p-2=4p-1 | | 3(x+4)+-4=2(x+4)+x | | 3(x+4)-4=2(x+4) | | x-x/5=2(x+1)/11 | | 2.39m=2.4856 | | A=.5bxh | | -6x+24=-6x-30 | | 3x+X+10+2x-40=180 | | 2(3z+1)=6(z+2)-10 | | q(2-5q)=12-6q-5q^2 |

Equations solver categories