(3x-8)(3x+8)+(4x-5)(2x+3)=(2x+3)(4x-1)-8(x-3)

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Solution for (3x-8)(3x+8)+(4x-5)(2x+3)=(2x+3)(4x-1)-8(x-3) equation: 


Simplifying
(3x + -8)(3x + 8) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)

Reorder the terms:
(-8 + 3x)(3x + 8) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)

Reorder the terms:
(-8 + 3x)(8 + 3x) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)

Multiply (-8 + 3x) * (8 + 3x)
(-8(8 + 3x) + 3x * (8 + 3x)) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)
((8 * -8 + 3x * -8) + 3x * (8 + 3x)) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)
((-64 + -24x) + 3x * (8 + 3x)) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)
(-64 + -24x + (8 * 3x + 3x * 3x)) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)
(-64 + -24x + (24x + 9x2)) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)

Combine like terms: -24x + 24x = 0
(-64 + 0 + 9x2) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)
(-64 + 9x2) + (4x + -5)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)

Reorder the terms:
-64 + 9x2 + (-5 + 4x)(2x + 3) = (2x + 3)(4x + -1) + -8(x + -3)

Reorder the terms:
-64 + 9x2 + (-5 + 4x)(3 + 2x) = (2x + 3)(4x + -1) + -8(x + -3)

Multiply (-5 + 4x) * (3 + 2x)
-64 + 9x2 + (-5(3 + 2x) + 4x * (3 + 2x)) = (2x + 3)(4x + -1) + -8(x + -3)
-64 + 9x2 + ((3 * -5 + 2x * -5) + 4x * (3 + 2x)) = (2x + 3)(4x + -1) + -8(x + -3)
-64 + 9x2 + ((-15 + -10x) + 4x * (3 + 2x)) = (2x + 3)(4x + -1) + -8(x + -3)
-64 + 9x2 + (-15 + -10x + (3 * 4x + 2x * 4x)) = (2x + 3)(4x + -1) + -8(x + -3)
-64 + 9x2 + (-15 + -10x + (12x + 8x2)) = (2x + 3)(4x + -1) + -8(x + -3)

Combine like terms: -10x + 12x = 2x
-64 + 9x2 + (-15 + 2x + 8x2) = (2x + 3)(4x + -1) + -8(x + -3)

Reorder the terms:
-64 + -15 + 2x + 9x2 + 8x2 = (2x + 3)(4x + -1) + -8(x + -3)

Combine like terms: -64 + -15 = -79
-79 + 2x + 9x2 + 8x2 = (2x + 3)(4x + -1) + -8(x + -3)

Combine like terms: 9x2 + 8x2 = 17x2
-79 + 2x + 17x2 = (2x + 3)(4x + -1) + -8(x + -3)

Reorder the terms:
-79 + 2x + 17x2 = (3 + 2x)(4x + -1) + -8(x + -3)

Reorder the terms:
-79 + 2x + 17x2 = (3 + 2x)(-1 + 4x) + -8(x + -3)

Multiply (3 + 2x) * (-1 + 4x)
-79 + 2x + 17x2 = (3(-1 + 4x) + 2x * (-1 + 4x)) + -8(x + -3)
-79 + 2x + 17x2 = ((-1 * 3 + 4x * 3) + 2x * (-1 + 4x)) + -8(x + -3)
-79 + 2x + 17x2 = ((-3 + 12x) + 2x * (-1 + 4x)) + -8(x + -3)
-79 + 2x + 17x2 = (-3 + 12x + (-1 * 2x + 4x * 2x)) + -8(x + -3)
-79 + 2x + 17x2 = (-3 + 12x + (-2x + 8x2)) + -8(x + -3)

Combine like terms: 12x + -2x = 10x
-79 + 2x + 17x2 = (-3 + 10x + 8x2) + -8(x + -3)

Reorder the terms:
-79 + 2x + 17x2 = -3 + 10x + 8x2 + -8(-3 + x)
-79 + 2x + 17x2 = -3 + 10x + 8x2 + (-3 * -8 + x * -8)
-79 + 2x + 17x2 = -3 + 10x + 8x2 + (24 + -8x)

Reorder the terms:
-79 + 2x + 17x2 = -3 + 24 + 10x + -8x + 8x2

Combine like terms: -3 + 24 = 21
-79 + 2x + 17x2 = 21 + 10x + -8x + 8x2

Combine like terms: 10x + -8x = 2x
-79 + 2x + 17x2 = 21 + 2x + 8x2

Add '-2x' to each side of the equation.
-79 + 2x + -2x + 17x2 = 21 + 2x + -2x + 8x2

Combine like terms: 2x + -2x = 0
-79 + 0 + 17x2 = 21 + 2x + -2x + 8x2
-79 + 17x2 = 21 + 2x + -2x + 8x2

Combine like terms: 2x + -2x = 0
-79 + 17x2 = 21 + 0 + 8x2
-79 + 17x2 = 21 + 8x2

Solving
-79 + 17x2 = 21 + 8x2

Solving for variable 'x'.

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

Add '-8x2' to each side of the equation.
-79 + 17x2 + -8x2 = 21 + 8x2 + -8x2

Combine like terms: 17x2 + -8x2 = 9x2
-79 + 9x2 = 21 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-79 + 9x2 = 21 + 0
-79 + 9x2 = 21

Add '79' to each side of the equation.
-79 + 79 + 9x2 = 21 + 79

Combine like terms: -79 + 79 = 0
0 + 9x2 = 21 + 79
9x2 = 21 + 79

Combine like terms: 21 + 79 = 100
9x2 = 100

Divide each side by '9'.
x2 = 11.11111111

Simplifying
x2 = 11.11111111

Take the square root of each side:
x = {-3.333333333, 3.333333333}

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