(5x^2+7x)(15x^2-7x-2)=0

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Solution for (5x^2+7x)(15x^2-7x-2)=0 equation: 


Simplifying
(5x2 + 7x)(15x2 + -7x + -2) = 0

Reorder the terms:
(7x + 5x2)(15x2 + -7x + -2) = 0

Reorder the terms:
(7x + 5x2)(-2 + -7x + 15x2) = 0

Multiply (7x + 5x2) * (-2 + -7x + 15x2)
(7x * (-2 + -7x + 15x2) + 5x2 * (-2 + -7x + 15x2)) = 0
((-2 * 7x + -7x * 7x + 15x2 * 7x) + 5x2 * (-2 + -7x + 15x2)) = 0
((-14x + -49x2 + 105x3) + 5x2 * (-2 + -7x + 15x2)) = 0
(-14x + -49x2 + 105x3 + (-2 * 5x2 + -7x * 5x2 + 15x2 * 5x2)) = 0
(-14x + -49x2 + 105x3 + (-10x2 + -35x3 + 75x4)) = 0

Reorder the terms:
(-14x + -49x2 + -10x2 + 105x3 + -35x3 + 75x4) = 0

Combine like terms: -49x2 + -10x2 = -59x2
(-14x + -59x2 + 105x3 + -35x3 + 75x4) = 0

Combine like terms: 105x3 + -35x3 = 70x3
(-14x + -59x2 + 70x3 + 75x4) = 0

Solving
-14x + -59x2 + 70x3 + 75x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + -59x + 70x2 + 75x3) = 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 '(-14 + -59x + 70x2 + 75x3)' equal to zero and attempt to solve:

Simplifying
-14 + -59x + 70x2 + 75x3 = 0

Solving
-14 + -59x + 70x2 + 75x3 = 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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