(3x+4x^2-6x^4)-(7x^3-3x^2+5x)=0

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Solution for (3x+4x^2-6x^4)-(7x^3-3x^2+5x)=0 equation:


Simplifying
(3x + 4x2 + -6x4) + -1(7x3 + -3x2 + 5x) = 0

Remove parenthesis around (3x + 4x2 + -6x4)
3x + 4x2 + -6x4 + -1(7x3 + -3x2 + 5x) = 0

Reorder the terms:
3x + 4x2 + -6x4 + -1(5x + -3x2 + 7x3) = 0
3x + 4x2 + -6x4 + (5x * -1 + -3x2 * -1 + 7x3 * -1) = 0
3x + 4x2 + -6x4 + (-5x + 3x2 + -7x3) = 0

Reorder the terms:
3x + -5x + 4x2 + 3x2 + -7x3 + -6x4 = 0

Combine like terms: 3x + -5x = -2x
-2x + 4x2 + 3x2 + -7x3 + -6x4 = 0

Combine like terms: 4x2 + 3x2 = 7x2
-2x + 7x2 + -7x3 + -6x4 = 0

Solving
-2x + 7x2 + -7x3 + -6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 7x + -7x2 + -6x3) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-2 + 7x + -7x2 + -6x3)' equal to zero and attempt to solve: Simplifying -2 + 7x + -7x2 + -6x3 = 0 Solving -2 + 7x + -7x2 + -6x3 = 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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