(x+4)(x+4)=x^2+rx+t

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Solution for (x+4)(x+4)=x^2+rx+t equation:


Simplifying
(x + 4)(x + 4) = x2 + rx + t

Reorder the terms:
(4 + x)(x + 4) = x2 + rx + t

Reorder the terms:
(4 + x)(4 + x) = x2 + rx + t

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = x2 + rx + t
((4 * 4 + x * 4) + x(4 + x)) = x2 + rx + t
((16 + 4x) + x(4 + x)) = x2 + rx + t
(16 + 4x + (4 * x + x * x)) = x2 + rx + t
(16 + 4x + (4x + x2)) = x2 + rx + t

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = x2 + rx + t

Reorder the terms:
16 + 8x + x2 = rx + t + x2

Add '-1x2' to each side of the equation.
16 + 8x + x2 + -1x2 = rx + t + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x + 0 = rx + t + x2 + -1x2
16 + 8x = rx + t + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 8x = rx + t + 0
16 + 8x = rx + t

Solving
16 + 8x = rx + t

Solving for variable 'x'.

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

Add '-1rx' to each side of the equation.
16 + -1rx + 8x = rx + -1rx + t

Combine like terms: rx + -1rx = 0
16 + -1rx + 8x = 0 + t
16 + -1rx + 8x = t

Add '-16' to each side of the equation.
16 + -1rx + -16 + 8x = -16 + t

Reorder the terms:
16 + -16 + -1rx + 8x = -16 + t

Combine like terms: 16 + -16 = 0
0 + -1rx + 8x = -16 + t
-1rx + 8x = -16 + t

Reorder the terms:
16 + -1rx + -1t + 8x = -16 + t + 16 + -1t

Reorder the terms:
16 + -1rx + -1t + 8x = -16 + 16 + t + -1t

Combine like terms: -16 + 16 = 0
16 + -1rx + -1t + 8x = 0 + t + -1t
16 + -1rx + -1t + 8x = t + -1t

Combine like terms: t + -1t = 0
16 + -1rx + -1t + 8x = 0

The solution to this equation could not be determined.

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