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

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


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

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

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

Multiply (-7x + 4x2) * (-7 + -2x + 3x2)
(-7x * (-7 + -2x + 3x2) + 4x2 * (-7 + -2x + 3x2)) = 0
((-7 * -7x + -2x * -7x + 3x2 * -7x) + 4x2 * (-7 + -2x + 3x2)) = 0
((49x + 14x2 + -21x3) + 4x2 * (-7 + -2x + 3x2)) = 0
(49x + 14x2 + -21x3 + (-7 * 4x2 + -2x * 4x2 + 3x2 * 4x2)) = 0
(49x + 14x2 + -21x3 + (-28x2 + -8x3 + 12x4)) = 0

Reorder the terms:
(49x + 14x2 + -28x2 + -21x3 + -8x3 + 12x4) = 0

Combine like terms: 14x2 + -28x2 = -14x2
(49x + -14x2 + -21x3 + -8x3 + 12x4) = 0

Combine like terms: -21x3 + -8x3 = -29x3
(49x + -14x2 + -29x3 + 12x4) = 0

Solving
49x + -14x2 + -29x3 + 12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(49 + -14x + -29x2 + 12x3) = 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 '(49 + -14x + -29x2 + 12x3)' equal to zero and attempt to solve:

Simplifying
49 + -14x + -29x2 + 12x3 = 0

Solving
49 + -14x + -29x2 + 12x3 = 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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