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

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


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

Reorder the terms:
5x(-4 + 3x) + 2(3x + -4) = 0
(-4 * 5x + 3x * 5x) + 2(3x + -4) = 0
(-20x + 15x2) + 2(3x + -4) = 0

Reorder the terms:
-20x + 15x2 + 2(-4 + 3x) = 0
-20x + 15x2 + (-4 * 2 + 3x * 2) = 0
-20x + 15x2 + (-8 + 6x) = 0

Reorder the terms:
-8 + -20x + 6x + 15x2 = 0

Combine like terms: -20x + 6x = -14x
-8 + -14x + 15x2 = 0

Solving
-8 + -14x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

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

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

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-0.4, 1.333333333}

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