(8x-3)(4x+324)=0

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Solution for (8x-3)(4x+324)=0 equation: 


Simplifying
(8x + -3)(4x + 324) = 0

Reorder the terms:
(-3 + 8x)(4x + 324) = 0

Reorder the terms:
(-3 + 8x)(324 + 4x) = 0

Multiply (-3 + 8x) * (324 + 4x)
(-3(324 + 4x) + 8x * (324 + 4x)) = 0
((324 * -3 + 4x * -3) + 8x * (324 + 4x)) = 0
((-972 + -12x) + 8x * (324 + 4x)) = 0
(-972 + -12x + (324 * 8x + 4x * 8x)) = 0
(-972 + -12x + (2592x + 32x2)) = 0

Combine like terms: -12x + 2592x = 2580x
(-972 + 2580x + 32x2) = 0

Solving
-972 + 2580x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-243 + 645x + 8x2) = 0

Factor a trinomial.
4((-81 + -1x)(3 + -8x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-81 + -1x)' equal to zero and attempt to solve:

Simplifying
-81 + -1x = 0

Solving
-81 + -1x = 0

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

Add '81' to each side of the equation.
-81 + 81 + -1x = 0 + 81

Combine like terms: -81 + 81 = 0
0 + -1x = 0 + 81
-1x = 0 + 81

Combine like terms: 0 + 81 = 81
-1x = 81

Divide each side by '-1'.
x = -81

Simplifying
x = -81

Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 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 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Solution
x = {-81, 0.375}

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