5x^2(-5x^2+33-9)=

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Solution for 5x^2(-5x^2+33-9)= equation: 


Simplifying
5x2(-5x2 + 33 + -9) = 0

Reorder the terms:
5x2(33 + -9 + -5x2) = 0

Combine like terms: 33 + -9 = 24
5x2(24 + -5x2) = 0
(24 * 5x2 + -5x2 * 5x2) = 0
(120x2 + -25x4) = 0

Solving
120x2 + -25x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(24 + -5x2) = 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 '(24 + -5x2)' equal to zero and attempt to solve:

Simplifying
24 + -5x2 = 0

Solving
24 + -5x2 = 0

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

Add '-24' to each side of the equation.
24 + -24 + -5x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -5x2 = 0 + -24
-5x2 = 0 + -24

Combine like terms: 0 + -24 = -24
-5x2 = -24

Divide each side by '-5'.
x2 = 4.8

Simplifying
x2 = 4.8

Take the square root of each side:
x = {-2.19089023, 2.19089023}
Solution
x = {0, -2.19089023, 2.19089023}

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