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

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


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

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

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

Multiply (-5 + 4x) * (4 + 4x)
(-5(4 + 4x) + 4x * (4 + 4x)) = 0
((4 * -5 + 4x * -5) + 4x * (4 + 4x)) = 0
((-20 + -20x) + 4x * (4 + 4x)) = 0
(-20 + -20x + (4 * 4x + 4x * 4x)) = 0
(-20 + -20x + (16x + 16x2)) = 0

Combine like terms: -20x + 16x = -4x
(-20 + -4x + 16x2) = 0

Solving
-20 + -4x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + -1x + 4x2) = 0

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

Ignore the factor 4.

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 '(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
Solution
x = {-1, 1.25}

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