(4x-3)(3+4x)-2x(8x-1)=0

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Solution for (4x-3)(3+4x)-2x(8x-1)=0 equation: 


Simplifying
(4x + -3)(3 + 4x) + -2x(8x + -1) = 0

Reorder the terms:
(-3 + 4x)(3 + 4x) + -2x(8x + -1) = 0

Multiply (-3 + 4x) * (3 + 4x)
(-3(3 + 4x) + 4x * (3 + 4x)) + -2x(8x + -1) = 0
((3 * -3 + 4x * -3) + 4x * (3 + 4x)) + -2x(8x + -1) = 0
((-9 + -12x) + 4x * (3 + 4x)) + -2x(8x + -1) = 0
(-9 + -12x + (3 * 4x + 4x * 4x)) + -2x(8x + -1) = 0
(-9 + -12x + (12x + 16x2)) + -2x(8x + -1) = 0

Combine like terms: -12x + 12x = 0
(-9 + 0 + 16x2) + -2x(8x + -1) = 0
(-9 + 16x2) + -2x(8x + -1) = 0

Reorder the terms:
-9 + 16x2 + -2x(-1 + 8x) = 0
-9 + 16x2 + (-1 * -2x + 8x * -2x) = 0
-9 + 16x2 + (2x + -16x2) = 0

Reorder the terms:
-9 + 2x + 16x2 + -16x2 = 0

Combine like terms: 16x2 + -16x2 = 0
-9 + 2x + 0 = 0
-9 + 2x = 0

Solving
-9 + 2x = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 0 + 9
2x = 0 + 9

Combine like terms: 0 + 9 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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