A=(2x+1)(4x-7)-(2x+1)2

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Solution for A=(2x+1)(4x-7)-(2x+1)2 equation: 


Simplifying
A = (2x + 1)(4x + -7) + -1(2x + 1) * 2

Reorder the terms:
A = (1 + 2x)(4x + -7) + -1(2x + 1) * 2

Reorder the terms:
A = (1 + 2x)(-7 + 4x) + -1(2x + 1) * 2

Multiply (1 + 2x) * (-7 + 4x)
A = (1(-7 + 4x) + 2x * (-7 + 4x)) + -1(2x + 1) * 2
A = ((-7 * 1 + 4x * 1) + 2x * (-7 + 4x)) + -1(2x + 1) * 2
A = ((-7 + 4x) + 2x * (-7 + 4x)) + -1(2x + 1) * 2
A = (-7 + 4x + (-7 * 2x + 4x * 2x)) + -1(2x + 1) * 2
A = (-7 + 4x + (-14x + 8x2)) + -1(2x + 1) * 2

Combine like terms: 4x + -14x = -10x
A = (-7 + -10x + 8x2) + -1(2x + 1) * 2

Reorder the terms:
A = -7 + -10x + 8x2 + -1(1 + 2x) * 2

Reorder the terms for easier multiplication:
A = -7 + -10x + 8x2 + -1 * 2(1 + 2x)

Multiply -1 * 2
A = -7 + -10x + 8x2 + -2(1 + 2x)
A = -7 + -10x + 8x2 + (1 * -2 + 2x * -2)
A = -7 + -10x + 8x2 + (-2 + -4x)

Reorder the terms:
A = -7 + -2 + -10x + -4x + 8x2

Combine like terms: -7 + -2 = -9
A = -9 + -10x + -4x + 8x2

Combine like terms: -10x + -4x = -14x
A = -9 + -14x + 8x2

Solving
A = -9 + -14x + 8x2

Solving for variable 'A'.

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

Simplifying
A = -9 + -14x + 8x2

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