5x^2(4x^3+7)=

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Solution for 5x^2(4x^3+7)= equation: 


Simplifying
5x2(4x3 + 7) = 0

Reorder the terms:
5x2(7 + 4x3) = 0
(7 * 5x2 + 4x3 * 5x2) = 0
(35x2 + 20x5) = 0

Solving
35x2 + 20x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(7 + 4x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(7 + 4x3)' equal to zero and attempt to solve:

Simplifying
7 + 4x3 = 0

Solving
7 + 4x3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 4x3 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4x3 = 0 + -7
4x3 = 0 + -7

Combine like terms: 0 + -7 = -7
4x3 = -7

Divide each side by '4'.
x3 = -1.75

Simplifying
x3 = -1.75

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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