(x+3)(4x-16)=0

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Solution for (x+3)(4x-16)=0 equation: 


Simplifying
(x + 3)(4x + -16) = 0

Reorder the terms:
(3 + x)(4x + -16) = 0

Reorder the terms:
(3 + x)(-16 + 4x) = 0

Multiply (3 + x) * (-16 + 4x)
(3(-16 + 4x) + x(-16 + 4x)) = 0
((-16 * 3 + 4x * 3) + x(-16 + 4x)) = 0
((-48 + 12x) + x(-16 + 4x)) = 0
(-48 + 12x + (-16 * x + 4x * x)) = 0
(-48 + 12x + (-16x + 4x2)) = 0

Combine like terms: 12x + -16x = -4x
(-48 + -4x + 4x2) = 0

Solving
-48 + -4x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -1x + x2) = 0

Factor a trinomial.
4((-3 + -1x)(4 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 4}

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