x(x)-(x+4)(x+4)=-7(x-4)

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Solution for x(x)-(x+4)(x+4)=-7(x-4) equation:


Simplifying
x(x) + -1(x + 4)(x + 4) = -7(x + -4)

Multiply x * x
x2 + -1(x + 4)(x + 4) = -7(x + -4)

Reorder the terms:
x2 + -1(4 + x)(x + 4) = -7(x + -4)

Reorder the terms:
x2 + -1(4 + x)(4 + x) = -7(x + -4)

Multiply (4 + x) * (4 + x)
x2 + -1(4(4 + x) + x(4 + x)) = -7(x + -4)
x2 + -1((4 * 4 + x * 4) + x(4 + x)) = -7(x + -4)
x2 + -1((16 + 4x) + x(4 + x)) = -7(x + -4)
x2 + -1(16 + 4x + (4 * x + x * x)) = -7(x + -4)
x2 + -1(16 + 4x + (4x + x2)) = -7(x + -4)

Combine like terms: 4x + 4x = 8x
x2 + -1(16 + 8x + x2) = -7(x + -4)
x2 + (16 * -1 + 8x * -1 + x2 * -1) = -7(x + -4)
x2 + (-16 + -8x + -1x2) = -7(x + -4)

Reorder the terms:
-16 + -8x + x2 + -1x2 = -7(x + -4)

Combine like terms: x2 + -1x2 = 0
-16 + -8x + 0 = -7(x + -4)
-16 + -8x = -7(x + -4)

Reorder the terms:
-16 + -8x = -7(-4 + x)
-16 + -8x = (-4 * -7 + x * -7)
-16 + -8x = (28 + -7x)

Solving
-16 + -8x = 28 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-16 + -8x + 7x = 28 + -7x + 7x

Combine like terms: -8x + 7x = -1x
-16 + -1x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
-16 + -1x = 28 + 0
-16 + -1x = 28

Add '16' to each side of the equation.
-16 + 16 + -1x = 28 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 28 + 16
-1x = 28 + 16

Combine like terms: 28 + 16 = 44
-1x = 44

Divide each side by '-1'.
x = -44

Simplifying
x = -44

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