8(3-8x)(4x+9)=0

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Solution for 8(3-8x)(4x+9)=0 equation: 


Simplifying
8(3 + -8x)(4x + 9) = 0

Reorder the terms:
8(3 + -8x)(9 + 4x) = 0

Multiply (3 + -8x) * (9 + 4x)
8(3(9 + 4x) + -8x * (9 + 4x)) = 0
8((9 * 3 + 4x * 3) + -8x * (9 + 4x)) = 0
8((27 + 12x) + -8x * (9 + 4x)) = 0
8(27 + 12x + (9 * -8x + 4x * -8x)) = 0
8(27 + 12x + (-72x + -32x2)) = 0

Combine like terms: 12x + -72x = -60x
8(27 + -60x + -32x2) = 0
(27 * 8 + -60x * 8 + -32x2 * 8) = 0
(216 + -480x + -256x2) = 0

Solving
216 + -480x + -256x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(27 + -60x + -32x2) = 0

Factor a trinomial.
8((3 + -8x)(9 + 4x)) = 0

Ignore the factor 8.

Subproblem 1
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

Subproblem 2
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25
Solution
x = {0.375, -2.25}

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