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

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


Simplifying
(5x2 + 2x)(3x2 + -7x + 4) = 0

Reorder the terms:
(2x + 5x2)(3x2 + -7x + 4) = 0

Reorder the terms:
(2x + 5x2)(4 + -7x + 3x2) = 0

Multiply (2x + 5x2) * (4 + -7x + 3x2)
(2x * (4 + -7x + 3x2) + 5x2 * (4 + -7x + 3x2)) = 0
((4 * 2x + -7x * 2x + 3x2 * 2x) + 5x2 * (4 + -7x + 3x2)) = 0
((8x + -14x2 + 6x3) + 5x2 * (4 + -7x + 3x2)) = 0
(8x + -14x2 + 6x3 + (4 * 5x2 + -7x * 5x2 + 3x2 * 5x2)) = 0
(8x + -14x2 + 6x3 + (20x2 + -35x3 + 15x4)) = 0

Reorder the terms:
(8x + -14x2 + 20x2 + 6x3 + -35x3 + 15x4) = 0

Combine like terms: -14x2 + 20x2 = 6x2
(8x + 6x2 + 6x3 + -35x3 + 15x4) = 0

Combine like terms: 6x3 + -35x3 = -29x3
(8x + 6x2 + -29x3 + 15x4) = 0

Solving
8x + 6x2 + -29x3 + 15x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 6x + -29x2 + 15x3) = 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 '(8 + 6x + -29x2 + 15x3)' equal to zero and attempt to solve:

Simplifying
8 + 6x + -29x2 + 15x3 = 0

Solving
8 + 6x + -29x2 + 15x3 = 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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