5x(2-5x)=45

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Solution for 5x(2-5x)=45 equation: 


Simplifying
5x(2 + -5x) = 45
(2 * 5x + -5x * 5x) = 45
(10x + -25x2) = 45

Solving
10x + -25x2 = 45

Solving for variable 'x'.

Reorder the terms:
-45 + 10x + -25x2 = 45 + -45

Combine like terms: 45 + -45 = 0
-45 + 10x + -25x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-9 + 2x + -5x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-9 + 2x + -5x2)' equal to zero and attempt to solve:

Simplifying
-9 + 2x + -5x2 = 0

Solving
-9 + 2x + -5x2 = 0

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

Divide each side by '-5'.
1.8 + -0.4x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -0.4x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -0.4x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.4x + x2 = 0 + -1.8
-0.4x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-0.4x + x2 = -1.8

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -1.8 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -1.8 + 0.04

Combine like terms: -1.8 + 0.04 = -1.76
0.04 + -0.4x + x2 = -1.76

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -1.76

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.

The solution to this equation could not be determined.

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