(7x^2-10)(6x^2-3x)=0

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Solution for (7x^2-10)(6x^2-3x)=0 equation: 


Simplifying
(7x2 + -10)(6x2 + -3x) = 0

Reorder the terms:
(-10 + 7x2)(6x2 + -3x) = 0

Reorder the terms:
(-10 + 7x2)(-3x + 6x2) = 0

Multiply (-10 + 7x2) * (-3x + 6x2)
(-10(-3x + 6x2) + 7x2 * (-3x + 6x2)) = 0
((-3x * -10 + 6x2 * -10) + 7x2 * (-3x + 6x2)) = 0
((30x + -60x2) + 7x2 * (-3x + 6x2)) = 0
(30x + -60x2 + (-3x * 7x2 + 6x2 * 7x2)) = 0
(30x + -60x2 + (-21x3 + 42x4)) = 0
(30x + -60x2 + -21x3 + 42x4) = 0

Solving
30x + -60x2 + -21x3 + 42x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(10 + -20x + -7x2 + 14x3) = 0

Ignore the factor 3.

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 '(10 + -20x + -7x2 + 14x3)' equal to zero and attempt to solve:

Simplifying
10 + -20x + -7x2 + 14x3 = 0

Solving
10 + -20x + -7x2 + 14x3 = 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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