(4a^3-2a+1)-(a^3-2a+3)=0

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Solution for (4a^3-2a+1)-(a^3-2a+3)=0 equation:


Simplifying
(4a3 + -2a + 1) + -1(a3 + -2a + 3) = 0

Reorder the terms:
(1 + -2a + 4a3) + -1(a3 + -2a + 3) = 0

Remove parenthesis around (1 + -2a + 4a3)
1 + -2a + 4a3 + -1(a3 + -2a + 3) = 0

Reorder the terms:
1 + -2a + 4a3 + -1(3 + -2a + a3) = 0
1 + -2a + 4a3 + (3 * -1 + -2a * -1 + a3 * -1) = 0
1 + -2a + 4a3 + (-3 + 2a + -1a3) = 0

Reorder the terms:
1 + -3 + -2a + 2a + 4a3 + -1a3 = 0

Combine like terms: 1 + -3 = -2
-2 + -2a + 2a + 4a3 + -1a3 = 0

Combine like terms: -2a + 2a = 0
-2 + 0 + 4a3 + -1a3 = 0
-2 + 4a3 + -1a3 = 0

Combine like terms: 4a3 + -1a3 = 3a3
-2 + 3a3 = 0

Solving
-2 + 3a3 = 0

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 3a3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3a3 = 0 + 2
3a3 = 0 + 2

Combine like terms: 0 + 2 = 2
3a3 = 2

Divide each side by '3'.
a3 = 0.6666666667

Simplifying
a3 = 0.6666666667

Reorder the terms:
-0.6666666667 + a3 = 0.6666666667 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
-0.6666666667 + a3 = 0.0000000000

The solution to this equation could not be determined.

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