3(2x-5)(2x+4)=

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Solution for 3(2x-5)(2x+4)= equation: 


Simplifying
3(2x + -5)(2x + 4) = 0

Reorder the terms:
3(-5 + 2x)(2x + 4) = 0

Reorder the terms:
3(-5 + 2x)(4 + 2x) = 0

Multiply (-5 + 2x) * (4 + 2x)
3(-5(4 + 2x) + 2x * (4 + 2x)) = 0
3((4 * -5 + 2x * -5) + 2x * (4 + 2x)) = 0
3((-20 + -10x) + 2x * (4 + 2x)) = 0
3(-20 + -10x + (4 * 2x + 2x * 2x)) = 0
3(-20 + -10x + (8x + 4x2)) = 0

Combine like terms: -10x + 8x = -2x
3(-20 + -2x + 4x2) = 0
(-20 * 3 + -2x * 3 + 4x2 * 3) = 0
(-60 + -6x + 12x2) = 0

Solving
-60 + -6x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-10 + -1x + 2x2) = 0

Factor a trinomial.
6((-2 + -1x)(5 + -2x)) = 0

Ignore the factor 6.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-2, 2.5}

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