(4x-3)(2x+6)=

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Solution for (4x-3)(2x+6)= equation: 


Simplifying
(4x + -3)(2x + 6) = 0

Reorder the terms:
(-3 + 4x)(2x + 6) = 0

Reorder the terms:
(-3 + 4x)(6 + 2x) = 0

Multiply (-3 + 4x) * (6 + 2x)
(-3(6 + 2x) + 4x * (6 + 2x)) = 0
((6 * -3 + 2x * -3) + 4x * (6 + 2x)) = 0
((-18 + -6x) + 4x * (6 + 2x)) = 0
(-18 + -6x + (6 * 4x + 2x * 4x)) = 0
(-18 + -6x + (24x + 8x2)) = 0

Combine like terms: -6x + 24x = 18x
(-18 + 18x + 8x2) = 0

Solving
-18 + 18x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 9x + 4x2) = 0

Factor a trinomial.
2((-3 + -1x)(3 + -4x)) = 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 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

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

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-3, 0.75}

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