((4x^2)+7x)((15x^2)-7x-4)=0

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Solution for ((4x^2)+7x)((15x^2)-7x-4)=0 equation: 


Simplifying
((4x2) + 7x)((15x2) + -7x + -4) = 0

Reorder the terms:
(7x + (4x2))((15x2) + -7x + -4) = 0

Reorder the terms:
(7x + (4x2))(-4 + -7x + (15x2)) = 0

Multiply (7x + (4x2)) * (-4 + -7x + (15x2))
(7x * (-4 + -7x + (15x2)) + (4x2)(-4 + -7x + (15x2))) = 0
((-4 * 7x + -7x * 7x + (15x2) * 7x) + (4x2)(-4 + -7x + (15x2))) = 0
((-28x + -49x2 + 105x3) + (4x2)(-4 + -7x + (15x2))) = 0
(-28x + -49x2 + 105x3 + (-4 * 4x2 + -7x * 4x2 + (15x2) * 4x2)) = 0
(-28x + -49x2 + 105x3 + (-16x2 + -28x3 + 60x4)) = 0

Reorder the terms:
(-28x + -49x2 + -16x2 + 105x3 + -28x3 + 60x4) = 0

Combine like terms: -49x2 + -16x2 = -65x2
(-28x + -65x2 + 105x3 + -28x3 + 60x4) = 0

Combine like terms: 105x3 + -28x3 = 77x3
(-28x + -65x2 + 77x3 + 60x4) = 0

Solving
-28x + -65x2 + 77x3 + 60x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-28 + -65x + 77x2 + 60x3) = 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 '(-28 + -65x + 77x2 + 60x3)' equal to zero and attempt to solve:

Simplifying
-28 + -65x + 77x2 + 60x3 = 0

Solving
-28 + -65x + 77x2 + 60x3 = 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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