(3x-4)(2x+5)=323

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Solution for (3x-4)(2x+5)=323 equation: 


Simplifying
(3x + -4)(2x + 5) = 323

Reorder the terms:
(-4 + 3x)(2x + 5) = 323

Reorder the terms:
(-4 + 3x)(5 + 2x) = 323

Multiply (-4 + 3x) * (5 + 2x)
(-4(5 + 2x) + 3x * (5 + 2x)) = 323
((5 * -4 + 2x * -4) + 3x * (5 + 2x)) = 323
((-20 + -8x) + 3x * (5 + 2x)) = 323
(-20 + -8x + (5 * 3x + 2x * 3x)) = 323
(-20 + -8x + (15x + 6x2)) = 323

Combine like terms: -8x + 15x = 7x
(-20 + 7x + 6x2) = 323

Solving
-20 + 7x + 6x2 = 323

Solving for variable 'x'.

Reorder the terms:
-20 + -323 + 7x + 6x2 = 323 + -323

Combine like terms: -20 + -323 = -343
-343 + 7x + 6x2 = 323 + -323

Combine like terms: 323 + -323 = 0
-343 + 7x + 6x2 = 0

Factor a trinomial.
(-49 + -6x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-49 + -6x)' equal to zero and attempt to solve:

Simplifying
-49 + -6x = 0

Solving
-49 + -6x = 0

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

Add '49' to each side of the equation.
-49 + 49 + -6x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -6x = 0 + 49
-6x = 0 + 49

Combine like terms: 0 + 49 = 49
-6x = 49

Divide each side by '-6'.
x = -8.166666667

Simplifying
x = -8.166666667

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-8.166666667, 7}

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