5x^2(-5x^2+3x-9)=

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Solution for 5x^2(-5x^2+3x-9)= equation: 


Simplifying
5x2(-5x2 + 3x + -9) = 0

Reorder the terms:
5x2(-9 + 3x + -5x2) = 0
(-9 * 5x2 + 3x * 5x2 + -5x2 * 5x2) = 0
(-45x2 + 15x3 + -25x4) = 0

Solving
-45x2 + 15x3 + -25x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-9 + 3x + -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 '(-9 + 3x + -5x2)' equal to zero and attempt to solve:

Simplifying
-9 + 3x + -5x2 = 0

Solving
-9 + 3x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.8 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -0.6x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -0.6x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.6x + x2 = 0 + -1.8
-0.6x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-0.6x + x2 = -1.8

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -1.8 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -1.8 + 0.09

Combine like terms: -1.8 + 0.09 = -1.71
0.09 + -0.6x + x2 = -1.71

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -1.71

Can't calculate square root of the right side.

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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