(25x-4)(5x+5)=25x^2-5x-20

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Solution for (25x-4)(5x+5)=25x^2-5x-20 equation: 


Simplifying
(25x + -4)(5x + 5) = 25x2 + -5x + -20

Reorder the terms:
(-4 + 25x)(5x + 5) = 25x2 + -5x + -20

Reorder the terms:
(-4 + 25x)(5 + 5x) = 25x2 + -5x + -20

Multiply (-4 + 25x) * (5 + 5x)
(-4(5 + 5x) + 25x * (5 + 5x)) = 25x2 + -5x + -20
((5 * -4 + 5x * -4) + 25x * (5 + 5x)) = 25x2 + -5x + -20
((-20 + -20x) + 25x * (5 + 5x)) = 25x2 + -5x + -20
(-20 + -20x + (5 * 25x + 5x * 25x)) = 25x2 + -5x + -20
(-20 + -20x + (125x + 125x2)) = 25x2 + -5x + -20

Combine like terms: -20x + 125x = 105x
(-20 + 105x + 125x2) = 25x2 + -5x + -20

Reorder the terms:
-20 + 105x + 125x2 = -20 + -5x + 25x2

Add '20' to each side of the equation.
-20 + 105x + 20 + 125x2 = -20 + -5x + 20 + 25x2

Reorder the terms:
-20 + 20 + 105x + 125x2 = -20 + -5x + 20 + 25x2

Combine like terms: -20 + 20 = 0
0 + 105x + 125x2 = -20 + -5x + 20 + 25x2
105x + 125x2 = -20 + -5x + 20 + 25x2

Reorder the terms:
105x + 125x2 = -20 + 20 + -5x + 25x2

Combine like terms: -20 + 20 = 0
105x + 125x2 = 0 + -5x + 25x2
105x + 125x2 = -5x + 25x2

Solving
105x + 125x2 = -5x + 25x2

Solving for variable 'x'.

Reorder the terms:
105x + 5x + 125x2 + -25x2 = -5x + 25x2 + 5x + -25x2

Combine like terms: 105x + 5x = 110x
110x + 125x2 + -25x2 = -5x + 25x2 + 5x + -25x2

Combine like terms: 125x2 + -25x2 = 100x2
110x + 100x2 = -5x + 25x2 + 5x + -25x2

Reorder the terms:
110x + 100x2 = -5x + 5x + 25x2 + -25x2

Combine like terms: -5x + 5x = 0
110x + 100x2 = 0 + 25x2 + -25x2
110x + 100x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
110x + 100x2 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(11 + 10x) = 0

Ignore the factor 10.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + 10x)' equal to zero and attempt to solve:

Simplifying
11 + 10x = 0

Solving
11 + 10x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 10x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = 0 + -11
10x = 0 + -11

Combine like terms: 0 + -11 = -11
10x = -11

Divide each side by '10'.
x = -1.1

Simplifying
x = -1.1
Solution
x = {0, -1.1}

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