4x(x+2)-5=12-(x^2+16-8x)

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Solution for 4x(x+2)-5=12-(x^2+16-8x) equation: 


Simplifying
4x(x + 2) + -5 = 12 + -1(x2 + 16 + -8x)

Reorder the terms:
4x(2 + x) + -5 = 12 + -1(x2 + 16 + -8x)
(2 * 4x + x * 4x) + -5 = 12 + -1(x2 + 16 + -8x)
(8x + 4x2) + -5 = 12 + -1(x2 + 16 + -8x)

Reorder the terms:
-5 + 8x + 4x2 = 12 + -1(x2 + 16 + -8x)

Reorder the terms:
-5 + 8x + 4x2 = 12 + -1(16 + -8x + x2)
-5 + 8x + 4x2 = 12 + (16 * -1 + -8x * -1 + x2 * -1)
-5 + 8x + 4x2 = 12 + (-16 + 8x + -1x2)

Combine like terms: 12 + -16 = -4
-5 + 8x + 4x2 = -4 + 8x + -1x2

Add '-8x' to each side of the equation.
-5 + 8x + -8x + 4x2 = -4 + 8x + -8x + -1x2

Combine like terms: 8x + -8x = 0
-5 + 0 + 4x2 = -4 + 8x + -8x + -1x2
-5 + 4x2 = -4 + 8x + -8x + -1x2

Combine like terms: 8x + -8x = 0
-5 + 4x2 = -4 + 0 + -1x2
-5 + 4x2 = -4 + -1x2

Solving
-5 + 4x2 = -4 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
-5 + 4x2 + x2 = -4 + -1x2 + x2

Combine like terms: 4x2 + x2 = 5x2
-5 + 5x2 = -4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-5 + 5x2 = -4 + 0
-5 + 5x2 = -4

Add '5' to each side of the equation.
-5 + 5 + 5x2 = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 5x2 = -4 + 5
5x2 = -4 + 5

Combine like terms: -4 + 5 = 1
5x2 = 1

Divide each side by '5'.
x2 = 0.2

Simplifying
x2 = 0.2

Take the square root of each side:
x = {-0.447213596, 0.447213596}

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