4x(3x+5)-8(3x+5)=

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Solution for 4x(3x+5)-8(3x+5)= equation: 


Simplifying
4x(3x + 5) + -8(3x + 5) = 0

Reorder the terms:
4x(5 + 3x) + -8(3x + 5) = 0
(5 * 4x + 3x * 4x) + -8(3x + 5) = 0
(20x + 12x2) + -8(3x + 5) = 0

Reorder the terms:
20x + 12x2 + -8(5 + 3x) = 0
20x + 12x2 + (5 * -8 + 3x * -8) = 0
20x + 12x2 + (-40 + -24x) = 0

Reorder the terms:
-40 + 20x + -24x + 12x2 = 0

Combine like terms: 20x + -24x = -4x
-40 + -4x + 12x2 = 0

Solving
-40 + -4x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-10 + -1x + 3x2) = 0

Factor a trinomial.
4((-5 + -3x)(2 + -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 '(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
Solution
x = {-1.666666667, 2}

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