-29=5a(2a-1)+2a

Simple and best practice solution for -29=5a(2a-1)+2a 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 -29=5a(2a-1)+2a equation:


Simplifying
-29 = 5a(2a + -1) + 2a

Reorder the terms:
-29 = 5a(-1 + 2a) + 2a
-29 = (-1 * 5a + 2a * 5a) + 2a
-29 = (-5a + 10a2) + 2a

Reorder the terms:
-29 = -5a + 2a + 10a2

Combine like terms: -5a + 2a = -3a
-29 = -3a + 10a2

Solving
-29 = -3a + 10a2

Solving for variable 'a'.

Reorder the terms:
-29 + 3a + -10a2 = -3a + 3a + 10a2 + -10a2

Combine like terms: -3a + 3a = 0
-29 + 3a + -10a2 = 0 + 10a2 + -10a2
-29 + 3a + -10a2 = 10a2 + -10a2

Combine like terms: 10a2 + -10a2 = 0
-29 + 3a + -10a2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
2.9 + -0.3a + a2 = 0

Move the constant term to the right:

Add '-2.9' to each side of the equation.
2.9 + -0.3a + -2.9 + a2 = 0 + -2.9

Reorder the terms:
2.9 + -2.9 + -0.3a + a2 = 0 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0
0.0 + -0.3a + a2 = 0 + -2.9
-0.3a + a2 = 0 + -2.9

Combine like terms: 0 + -2.9 = -2.9
-0.3a + a2 = -2.9

The a term is -0.3a.  Take half its coefficient (-0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
-0.3a + 0.0225 + a2 = -2.9 + 0.0225

Reorder the terms:
0.0225 + -0.3a + a2 = -2.9 + 0.0225

Combine like terms: -2.9 + 0.0225 = -2.8775
0.0225 + -0.3a + a2 = -2.8775

Factor a perfect square on the left side:
(a + -0.15)(a + -0.15) = -2.8775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3y+[(y-2)-6y]= | | 222=p+p(0.055)2 | | 8-(r-5)+6r= | | 8(x-13)=-56 | | -n+5+2n=0 | | -15+20j=5+19j | | (x-3)-(2-2x)=3x | | 16+31=31 | | 9=4-0.6x | | 3p+1+6(p-8)-(p+2)= | | (x-a)-(b-2x)=3x | | 4-28+15-22z=31 | | -9x+11x-20=12 | | (1/9)-25z2 | | 11g+4=17g+16-2g | | 4x^2-x-18= | | -208=6(-5X-1)+8 | | m+10=39 | | g(1)=6 | | 5a-15+9a=3a+21 | | 5(4+2x)(-8x-12)=68 | | 7m*1=2m-9 | | -6y-9=9+2y-10y | | -9-4x+3x=5x-3x | | 4/6=3/-6 | | N+1=3n-17 | | 6p+15+-10p=15 | | 8-(c-17)= | | 2+9h=4h+7 | | h=6/5=2 | | 48=8(n+2) | | -5t=-7-4t |

Equations solver categories