[5x-3][2x+6]=

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Solution for [5x-3][2x+6]= equation: 


Simplifying
[5x + -3][2x + 6] = 0

Reorder the terms:
[-3 + 5x][2x + 6] = 0

Reorder the terms:
[-3 + 5x][6 + 2x] = 0

Multiply [-3 + 5x] * [6 + 2x]
[-3[6 + 2x] + 5x * [6 + 2x]] = 0
[[6 * -3 + 2x * -3] + 5x * [6 + 2x]] = 0
[[-18 + -6x] + 5x * [6 + 2x]] = 0
[-18 + -6x + [6 * 5x + 2x * 5x]] = 0
[-18 + -6x + [30x + 10x2]] = 0

Combine like terms: -6x + 30x = 24x
[-18 + 24x + 10x2] = 0

Solving
-18 + 24x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 12x + 5x2) = 0

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

Ignore the factor 2.

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-3, 0.6}

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