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

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


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

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

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

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

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

Solving
-10 + 8x + 24x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 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 + -6x = 0 + 5

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

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

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-0.8333333333, 0.5}

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