(2x+4)(5x-6)=

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Solution for (2x+4)(5x-6)= equation: 


Simplifying
(2x + 4)(5x + -6) = 0

Reorder the terms:
(4 + 2x)(5x + -6) = 0

Reorder the terms:
(4 + 2x)(-6 + 5x) = 0

Multiply (4 + 2x) * (-6 + 5x)
(4(-6 + 5x) + 2x * (-6 + 5x)) = 0
((-6 * 4 + 5x * 4) + 2x * (-6 + 5x)) = 0
((-24 + 20x) + 2x * (-6 + 5x)) = 0
(-24 + 20x + (-6 * 2x + 5x * 2x)) = 0
(-24 + 20x + (-12x + 10x2)) = 0

Combine like terms: 20x + -12x = 8x
(-24 + 8x + 10x2) = 0

Solving
-24 + 8x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 4x + 5x2) = 0

Factor a trinomial.
2((-2 + -1x)(6 + -5x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-2, 1.2}

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