(5a^2-6a^3+5a)+(7a^4+2a^3-5a)=

Simple and best practice solution for (5a^2-6a^3+5a)+(7a^4+2a^3-5a)= 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 (5a^2-6a^3+5a)+(7a^4+2a^3-5a)= equation: 


Simplifying
(5a2 + -6a3 + 5a) + (7a4 + 2a3 + -5a) = 0

Reorder the terms:
(5a + 5a2 + -6a3) + (7a4 + 2a3 + -5a) = 0

Remove parenthesis around (5a + 5a2 + -6a3)
5a + 5a2 + -6a3 + (7a4 + 2a3 + -5a) = 0

Reorder the terms:
5a + 5a2 + -6a3 + (-5a + 2a3 + 7a4) = 0

Remove parenthesis around (-5a + 2a3 + 7a4)
5a + 5a2 + -6a3 + -5a + 2a3 + 7a4 = 0

Reorder the terms:
5a + -5a + 5a2 + -6a3 + 2a3 + 7a4 = 0

Combine like terms: 5a + -5a = 0
0 + 5a2 + -6a3 + 2a3 + 7a4 = 0
5a2 + -6a3 + 2a3 + 7a4 = 0

Combine like terms: -6a3 + 2a3 = -4a3
5a2 + -4a3 + 7a4 = 0

Solving
5a2 + -4a3 + 7a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(5 + -4a + 7a2) = 0


Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(5 + -4a + 7a2)' equal to zero and attempt to solve:

Simplifying
5 + -4a + 7a2 = 0

Solving
5 + -4a + 7a2 = 0

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

Divide each side by '7'.
0.7142857143 + -0.5714285714a + a2 = 0

Move the constant term to the right:

Add '-0.7142857143' to each side of the equation.
0.7142857143 + -0.5714285714a + -0.7142857143 + a2 = 0 + -0.7142857143

Reorder the terms:
0.7142857143 + -0.7142857143 + -0.5714285714a + a2 = 0 + -0.7142857143

Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000
0.0000000000 + -0.5714285714a + a2 = 0 + -0.7142857143
-0.5714285714a + a2 = 0 + -0.7142857143

Combine like terms: 0 + -0.7142857143 = -0.7142857143
-0.5714285714a + a2 = -0.7142857143

The a term is -0.5714285714a.  Take half its coefficient (-0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
-0.5714285714a + 0.08163265305 + a2 = -0.7142857143 + 0.08163265305

Reorder the terms:
0.08163265305 + -0.5714285714a + a2 = -0.7142857143 + 0.08163265305

Combine like terms: -0.7142857143 + 0.08163265305 = -0.63265306125
0.08163265305 + -0.5714285714a + a2 = -0.63265306125

Factor a perfect square on the left side:
(a + -0.2857142857)(a + -0.2857142857) = -0.63265306125

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.
Solution
a = {0}

See similar equations:

| 0.9t=1+t | | 2x+33=10x-7 | | n^2+7n-18= | | 4x-5(x+1)+9=0 | | 2-3x=26 | | (k-6)(k+8)=0 | | -5+8x+1=3x-59 | | 0.5x+0.6=-10.9-1.8x | | Y=4x^2-12x-9 | | (a+8)(a-2)=0 | | 1.7+0.5x=0.9x-5.1 | | 3x+43=5x-9 | | 68-6x=21x+20 | | y=-x^2+14x-24 | | 12+2y-10=8 | | y=-7(x-1)2+2 | | 7-x=4.1 | | P=145e^10k | | 2-6x=11-7 | | 3(x-5)+6=36 | | 8x-40=16 | | 8c+14= | | 22+6c=4+12c | | (w-2)(w+6)=0 | | 43y=7(6y-2) | | -4x+12=2x | | Y^2+8y=10 | | 6(5t+11)= | | -2(4-2m)=32 | | K^2+4K+4=25 | | 5n+7n-9=-15 | | 4+n=-4 |

Equations solver categories