(3x^5+8x^3)-(7x^2-6x^3)=

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Solution for (3x^5+8x^3)-(7x^2-6x^3)= equation:


Simplifying
(3x5 + 8x3) + -1(7x2 + -6x3) = 0

Reorder the terms:
(8x3 + 3x5) + -1(7x2 + -6x3) = 0

Remove parenthesis around (8x3 + 3x5)
8x3 + 3x5 + -1(7x2 + -6x3) = 0
8x3 + 3x5 + (7x2 * -1 + -6x3 * -1) = 0
8x3 + 3x5 + (-7x2 + 6x3) = 0

Reorder the terms:
-7x2 + 8x3 + 6x3 + 3x5 = 0

Combine like terms: 8x3 + 6x3 = 14x3
-7x2 + 14x3 + 3x5 = 0

Solving
-7x2 + 14x3 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-7 + 14x + 3x3) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-7 + 14x + 3x3)' equal to zero and attempt to solve: Simplifying -7 + 14x + 3x3 = 0 Solving -7 + 14x + 3x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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