(5+3x)*(4x-16)=0

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Solution for (5+3x)*(4x-16)=0 equation: 


Simplifying
(5 + 3x)(4x + -16) = 0

Reorder the terms:
(5 + 3x)(-16 + 4x) = 0

Multiply (5 + 3x) * (-16 + 4x)
(5(-16 + 4x) + 3x * (-16 + 4x)) = 0
((-16 * 5 + 4x * 5) + 3x * (-16 + 4x)) = 0
((-80 + 20x) + 3x * (-16 + 4x)) = 0
(-80 + 20x + (-16 * 3x + 4x * 3x)) = 0
(-80 + 20x + (-48x + 12x2)) = 0

Combine like terms: 20x + -48x = -28x
(-80 + -28x + 12x2) = 0

Solving
-80 + -28x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + -7x + 3x2) = 0

Factor a trinomial.
4((-5 + -3x)(4 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 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 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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 = {-1.666666667, 4}

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