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

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


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

Multiply (5 + -3x) * (2 + 4x)
(5(2 + 4x) + -3x * (2 + 4x)) = 0
((2 * 5 + 4x * 5) + -3x * (2 + 4x)) = 0
((10 + 20x) + -3x * (2 + 4x)) = 0
(10 + 20x + (2 * -3x + 4x * -3x)) = 0
(10 + 20x + (-6x + -12x2)) = 0

Combine like terms: 20x + -6x = 14x
(10 + 14x + -12x2) = 0

Solving
10 + 14x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 7x + -6x2) = 0

Factor a trinomial.
2((5 + -3x)(1 + 2x)) = 0

Ignore the factor 2.

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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {1.666666667, -0.5}

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