(4x+5)(5x-5)=

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Solution for (4x+5)(5x-5)= equation: 


Simplifying
(4x + 5)(5x + -5) = 0

Reorder the terms:
(5 + 4x)(5x + -5) = 0

Reorder the terms:
(5 + 4x)(-5 + 5x) = 0

Multiply (5 + 4x) * (-5 + 5x)
(5(-5 + 5x) + 4x * (-5 + 5x)) = 0
((-5 * 5 + 5x * 5) + 4x * (-5 + 5x)) = 0
((-25 + 25x) + 4x * (-5 + 5x)) = 0
(-25 + 25x + (-5 * 4x + 5x * 4x)) = 0
(-25 + 25x + (-20x + 20x2)) = 0

Combine like terms: 25x + -20x = 5x
(-25 + 5x + 20x2) = 0

Solving
-25 + 5x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-5 + x + 4x2) = 0

Factor a trinomial.
5((-5 + -4x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4x = 0 + 5

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

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

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

Subproblem 2
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
Solution
x = {-1.25, 1}

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