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

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


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

Reorder the terms:
3x(-2 + x) + -1 = 3(x + 2)(x + 4)
(-2 * 3x + x * 3x) + -1 = 3(x + 2)(x + 4)
(-6x + 3x2) + -1 = 3(x + 2)(x + 4)

Reorder the terms:
-1 + -6x + 3x2 = 3(x + 2)(x + 4)

Reorder the terms:
-1 + -6x + 3x2 = 3(2 + x)(x + 4)

Reorder the terms:
-1 + -6x + 3x2 = 3(2 + x)(4 + x)

Multiply (2 + x) * (4 + x)
-1 + -6x + 3x2 = 3(2(4 + x) + x(4 + x))
-1 + -6x + 3x2 = 3((4 * 2 + x * 2) + x(4 + x))
-1 + -6x + 3x2 = 3((8 + 2x) + x(4 + x))
-1 + -6x + 3x2 = 3(8 + 2x + (4 * x + x * x))
-1 + -6x + 3x2 = 3(8 + 2x + (4x + x2))

Combine like terms: 2x + 4x = 6x
-1 + -6x + 3x2 = 3(8 + 6x + x2)
-1 + -6x + 3x2 = (8 * 3 + 6x * 3 + x2 * 3)
-1 + -6x + 3x2 = (24 + 18x + 3x2)

Add '-3x2' to each side of the equation.
-1 + -6x + 3x2 + -3x2 = 24 + 18x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1 + -6x + 0 = 24 + 18x + 3x2 + -3x2
-1 + -6x = 24 + 18x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1 + -6x = 24 + 18x + 0
-1 + -6x = 24 + 18x

Solving
-1 + -6x = 24 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-1 + -6x + -18x = 24 + 18x + -18x

Combine like terms: -6x + -18x = -24x
-1 + -24x = 24 + 18x + -18x

Combine like terms: 18x + -18x = 0
-1 + -24x = 24 + 0
-1 + -24x = 24

Add '1' to each side of the equation.
-1 + 1 + -24x = 24 + 1

Combine like terms: -1 + 1 = 0
0 + -24x = 24 + 1
-24x = 24 + 1

Combine like terms: 24 + 1 = 25
-24x = 25

Divide each side by '-24'.
x = -1.041666667

Simplifying
x = -1.041666667

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