(42x^2-7x)(14x^2+53x-45)=0

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Solution for (42x^2-7x)(14x^2+53x-45)=0 equation: 


Simplifying
(42x2 + -7x)(14x2 + 53x + -45) = 0

Reorder the terms:
(-7x + 42x2)(14x2 + 53x + -45) = 0

Reorder the terms:
(-7x + 42x2)(-45 + 53x + 14x2) = 0

Multiply (-7x + 42x2) * (-45 + 53x + 14x2)
(-7x * (-45 + 53x + 14x2) + 42x2 * (-45 + 53x + 14x2)) = 0
((-45 * -7x + 53x * -7x + 14x2 * -7x) + 42x2 * (-45 + 53x + 14x2)) = 0
((315x + -371x2 + -98x3) + 42x2 * (-45 + 53x + 14x2)) = 0
(315x + -371x2 + -98x3 + (-45 * 42x2 + 53x * 42x2 + 14x2 * 42x2)) = 0
(315x + -371x2 + -98x3 + (-1890x2 + 2226x3 + 588x4)) = 0

Reorder the terms:
(315x + -371x2 + -1890x2 + -98x3 + 2226x3 + 588x4) = 0

Combine like terms: -371x2 + -1890x2 = -2261x2
(315x + -2261x2 + -98x3 + 2226x3 + 588x4) = 0

Combine like terms: -98x3 + 2226x3 = 2128x3
(315x + -2261x2 + 2128x3 + 588x4) = 0

Solving
315x + -2261x2 + 2128x3 + 588x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(45 + -323x + 304x2 + 84x3) = 0

Ignore the factor 7.

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 '(45 + -323x + 304x2 + 84x3)' equal to zero and attempt to solve:

Simplifying
45 + -323x + 304x2 + 84x3 = 0

Solving
45 + -323x + 304x2 + 84x3 = 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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