(5a-2b)x(5a-2b)=

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Solution for (5a-2b)x(5a-2b)= equation: 


Simplifying
(5a + -2b) * x(5a + -2b) = 0

Reorder the terms for easier multiplication:
x(5a + -2b)(5a + -2b) = 0

Multiply (5a + -2b) * (5a + -2b)
x(5a * (5a + -2b) + -2b * (5a + -2b)) = 0
x((5a * 5a + -2b * 5a) + -2b * (5a + -2b)) = 0

Reorder the terms:
x((-10ab + 25a2) + -2b * (5a + -2b)) = 0
x((-10ab + 25a2) + -2b * (5a + -2b)) = 0
x(-10ab + 25a2 + (5a * -2b + -2b * -2b)) = 0
x(-10ab + 25a2 + (-10ab + 4b2)) = 0

Reorder the terms:
x(-10ab + -10ab + 25a2 + 4b2) = 0

Combine like terms: -10ab + -10ab = -20ab
x(-20ab + 25a2 + 4b2) = 0
(-20ab * x + 25a2 * x + 4b2 * x) = 0
(-20abx + 25a2x + 4b2x) = 0

Solving
-20abx + 25a2x + 4b2x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20ab + 25a2 + 4b2) = 0

Factor a trinomial.
x((5a + -2b)(5a + -2b)) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5a + -2b)' equal to zero and attempt to solve:

Simplifying
5a + -2b = 0

Solving
5a + -2b = 0

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

Add '2b' to each side of the equation.
5a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
5a + 0 = 0 + 2b
5a = 0 + 2b
Remove the zero:
5a = 2b

Divide each side by '5'.
a = 0.4b

Simplifying
a = 0.4b

Subproblem 3
Set the factor '(5a + -2b)' equal to zero and attempt to solve:

Simplifying
5a + -2b = 0

Solving
5a + -2b = 0

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

Add '2b' to each side of the equation.
5a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
5a + 0 = 0 + 2b
5a = 0 + 2b
Remove the zero:
5a = 2b

Divide each side by '5'.
a = 0.4b

Simplifying
a = 0.4b
Solution
a = {0.4b, 0.4b}

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