A=(x-2)(x+3)+(x-2)(x+6)

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Solution for A=(x-2)(x+3)+(x-2)(x+6) equation: 


Simplifying
A = (x + -2)(x + 3) + (x + -2)(x + 6)

Reorder the terms:
A = (-2 + x)(x + 3) + (x + -2)(x + 6)

Reorder the terms:
A = (-2 + x)(3 + x) + (x + -2)(x + 6)

Multiply (-2 + x) * (3 + x)
A = (-2(3 + x) + x(3 + x)) + (x + -2)(x + 6)
A = ((3 * -2 + x * -2) + x(3 + x)) + (x + -2)(x + 6)
A = ((-6 + -2x) + x(3 + x)) + (x + -2)(x + 6)
A = (-6 + -2x + (3 * x + x * x)) + (x + -2)(x + 6)
A = (-6 + -2x + (3x + x2)) + (x + -2)(x + 6)

Combine like terms: -2x + 3x = 1x
A = (-6 + 1x + x2) + (x + -2)(x + 6)

Reorder the terms:
A = -6 + 1x + x2 + (-2 + x)(x + 6)

Reorder the terms:
A = -6 + 1x + x2 + (-2 + x)(6 + x)

Multiply (-2 + x) * (6 + x)
A = -6 + 1x + x2 + (-2(6 + x) + x(6 + x))
A = -6 + 1x + x2 + ((6 * -2 + x * -2) + x(6 + x))
A = -6 + 1x + x2 + ((-12 + -2x) + x(6 + x))
A = -6 + 1x + x2 + (-12 + -2x + (6 * x + x * x))
A = -6 + 1x + x2 + (-12 + -2x + (6x + x2))

Combine like terms: -2x + 6x = 4x
A = -6 + 1x + x2 + (-12 + 4x + x2)

Reorder the terms:
A = -6 + -12 + 1x + 4x + x2 + x2

Combine like terms: -6 + -12 = -18
A = -18 + 1x + 4x + x2 + x2

Combine like terms: 1x + 4x = 5x
A = -18 + 5x + x2 + x2

Combine like terms: x2 + x2 = 2x2
A = -18 + 5x + 2x2

Solving
A = -18 + 5x + 2x2

Solving for variable 'A'.

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

Simplifying
A = -18 + 5x + 2x2

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