(x+4)*(x+4)=x(x-14)+5

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Solution for (x+4)*(x+4)=x(x-14)+5 equation: 


Simplifying
(x + 4)(x + 4) = x(x + -14) + 5

Reorder the terms:
(4 + x)(x + 4) = x(x + -14) + 5

Reorder the terms:
(4 + x)(4 + x) = x(x + -14) + 5

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = x(x + -14) + 5
((4 * 4 + x * 4) + x(4 + x)) = x(x + -14) + 5
((16 + 4x) + x(4 + x)) = x(x + -14) + 5
(16 + 4x + (4 * x + x * x)) = x(x + -14) + 5
(16 + 4x + (4x + x2)) = x(x + -14) + 5

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = x(x + -14) + 5

Reorder the terms:
16 + 8x + x2 = x(-14 + x) + 5
16 + 8x + x2 = (-14 * x + x * x) + 5
16 + 8x + x2 = (-14x + x2) + 5

Reorder the terms:
16 + 8x + x2 = 5 + -14x + x2

Add '-1x2' to each side of the equation.
16 + 8x + x2 + -1x2 = 5 + -14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + 0 = 5 + -14x + x2 + -1x2
16 + 8x = 5 + -14x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x = 5 + -14x + 0
16 + 8x = 5 + -14x

Solving
16 + 8x = 5 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
16 + 8x + 14x = 5 + -14x + 14x

Combine like terms: 8x + 14x = 22x
16 + 22x = 5 + -14x + 14x

Combine like terms: -14x + 14x = 0
16 + 22x = 5 + 0
16 + 22x = 5

Add '-16' to each side of the equation.
16 + -16 + 22x = 5 + -16

Combine like terms: 16 + -16 = 0
0 + 22x = 5 + -16
22x = 5 + -16

Combine like terms: 5 + -16 = -11
22x = -11

Divide each side by '22'.
x = -0.5

Simplifying
x = -0.5

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