5x(x-1)=4x^2-4

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Solution for 5x(x-1)=4x^2-4 equation: 


Simplifying
5x(x + -1) = 4x2 + -4

Reorder the terms:
5x(-1 + x) = 4x2 + -4
(-1 * 5x + x * 5x) = 4x2 + -4
(-5x + 5x2) = 4x2 + -4

Reorder the terms:
-5x + 5x2 = -4 + 4x2

Solving
-5x + 5x2 = -4 + 4x2

Solving for variable 'x'.

Reorder the terms:
4 + -5x + 5x2 + -4x2 = -4 + 4x2 + 4 + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
4 + -5x + 1x2 = -4 + 4x2 + 4 + -4x2

Reorder the terms:
4 + -5x + 1x2 = -4 + 4 + 4x2 + -4x2

Combine like terms: -4 + 4 = 0
4 + -5x + 1x2 = 0 + 4x2 + -4x2
4 + -5x + 1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + -5x + 1x2 = 0

Factor a trinomial.
(1 + -1x)(4 + -1x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {1, 4}

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