(4x-3)(16x-24x+9)=0

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Solution for (4x-3)(16x-24x+9)=0 equation: 


Simplifying
(4x + -3)(16x + -24x + 9) = 0

Reorder the terms:
(-3 + 4x)(16x + -24x + 9) = 0

Reorder the terms:
(-3 + 4x)(9 + 16x + -24x) = 0

Combine like terms: 16x + -24x = -8x
(-3 + 4x)(9 + -8x) = 0

Multiply (-3 + 4x) * (9 + -8x)
(-3(9 + -8x) + 4x * (9 + -8x)) = 0
((9 * -3 + -8x * -3) + 4x * (9 + -8x)) = 0
((-27 + 24x) + 4x * (9 + -8x)) = 0
(-27 + 24x + (9 * 4x + -8x * 4x)) = 0
(-27 + 24x + (36x + -32x2)) = 0

Combine like terms: 24x + 36x = 60x
(-27 + 60x + -32x2) = 0

Solving
-27 + 60x + -32x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-9 + 8x)' equal to zero and attempt to solve:

Simplifying
-9 + 8x = 0

Solving
-9 + 8x = 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 + 8x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = 0 + 9
8x = 0 + 9

Combine like terms: 0 + 9 = 9
8x = 9

Divide each side by '8'.
x = 1.125

Simplifying
x = 1.125

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {1.125, 0.75}

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