(4x-5)(6x+3)=

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Solution for (4x-5)(6x+3)= equation: 


Simplifying
(4x + -5)(6x + 3) = 0

Reorder the terms:
(-5 + 4x)(6x + 3) = 0

Reorder the terms:
(-5 + 4x)(3 + 6x) = 0

Multiply (-5 + 4x) * (3 + 6x)
(-5(3 + 6x) + 4x * (3 + 6x)) = 0
((3 * -5 + 6x * -5) + 4x * (3 + 6x)) = 0
((-15 + -30x) + 4x * (3 + 6x)) = 0
(-15 + -30x + (3 * 4x + 6x * 4x)) = 0
(-15 + -30x + (12x + 24x2)) = 0

Combine like terms: -30x + 12x = -18x
(-15 + -18x + 24x2) = 0

Solving
-15 + -18x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + -6x + 8x2) = 0

Factor a trinomial.
3((-1 + -2x)(5 + -4x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-0.5, 1.25}

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