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

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


Simplifying
3x2(2x2 + -3x + -5) + 7x(3x + 5 + -2x2) = 0

Reorder the terms:
3x2(-5 + -3x + 2x2) + 7x(3x + 5 + -2x2) = 0
(-5 * 3x2 + -3x * 3x2 + 2x2 * 3x2) + 7x(3x + 5 + -2x2) = 0
(-15x2 + -9x3 + 6x4) + 7x(3x + 5 + -2x2) = 0

Reorder the terms:
-15x2 + -9x3 + 6x4 + 7x(5 + 3x + -2x2) = 0
-15x2 + -9x3 + 6x4 + (5 * 7x + 3x * 7x + -2x2 * 7x) = 0
-15x2 + -9x3 + 6x4 + (35x + 21x2 + -14x3) = 0

Reorder the terms:
35x + -15x2 + 21x2 + -9x3 + -14x3 + 6x4 = 0

Combine like terms: -15x2 + 21x2 = 6x2
35x + 6x2 + -9x3 + -14x3 + 6x4 = 0

Combine like terms: -9x3 + -14x3 = -23x3
35x + 6x2 + -23x3 + 6x4 = 0

Solving
35x + 6x2 + -23x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + 6x + -23x2 + 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 '(35 + 6x + -23x2 + 6x3)' equal to zero and attempt to solve: Simplifying 35 + 6x + -23x2 + 6x3 = 0 Solving 35 + 6x + -23x2 + 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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