(3*x-8)(3*x+8)-14*x=9*x*(x-2)-14

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Solution for (3*x-8)(3*x+8)-14*x=9*x*(x-2)-14 equation:


Simplifying
(3x + -8)(3x + 8) + -14x = 9x(x + -2) + -14

Reorder the terms:
(-8 + 3x)(3x + 8) + -14x = 9x(x + -2) + -14

Reorder the terms:
(-8 + 3x)(8 + 3x) + -14x = 9x(x + -2) + -14

Multiply (-8 + 3x) * (8 + 3x)
(-8(8 + 3x) + 3x * (8 + 3x)) + -14x = 9x(x + -2) + -14
((8 * -8 + 3x * -8) + 3x * (8 + 3x)) + -14x = 9x(x + -2) + -14
((-64 + -24x) + 3x * (8 + 3x)) + -14x = 9x(x + -2) + -14
(-64 + -24x + (8 * 3x + 3x * 3x)) + -14x = 9x(x + -2) + -14
(-64 + -24x + (24x + 9x2)) + -14x = 9x(x + -2) + -14

Combine like terms: -24x + 24x = 0
(-64 + 0 + 9x2) + -14x = 9x(x + -2) + -14
(-64 + 9x2) + -14x = 9x(x + -2) + -14

Reorder the terms:
-64 + -14x + 9x2 = 9x(x + -2) + -14

Reorder the terms:
-64 + -14x + 9x2 = 9x(-2 + x) + -14
-64 + -14x + 9x2 = (-2 * 9x + x * 9x) + -14
-64 + -14x + 9x2 = (-18x + 9x2) + -14

Reorder the terms:
-64 + -14x + 9x2 = -14 + -18x + 9x2

Add '-9x2' to each side of the equation.
-64 + -14x + 9x2 + -9x2 = -14 + -18x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-64 + -14x + 0 = -14 + -18x + 9x2 + -9x2
-64 + -14x = -14 + -18x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-64 + -14x = -14 + -18x + 0
-64 + -14x = -14 + -18x

Solving
-64 + -14x = -14 + -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.
-64 + -14x + 18x = -14 + -18x + 18x

Combine like terms: -14x + 18x = 4x
-64 + 4x = -14 + -18x + 18x

Combine like terms: -18x + 18x = 0
-64 + 4x = -14 + 0
-64 + 4x = -14

Add '64' to each side of the equation.
-64 + 64 + 4x = -14 + 64

Combine like terms: -64 + 64 = 0
0 + 4x = -14 + 64
4x = -14 + 64

Combine like terms: -14 + 64 = 50
4x = 50

Divide each side by '4'.
x = 12.5

Simplifying
x = 12.5

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