z=(2a-5b)(a+b)-(a-b)(2a+5b)

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Solution for z=(2a-5b)(a+b)-(a-b)(2a+5b) equation: 


Simplifying
z = (2a + -5b)(a + b) + -1(a + -1b)(2a + 5b)

Multiply (2a + -5b) * (a + b)
z = (2a * (a + b) + -5b * (a + b)) + -1(a + -1b)(2a + 5b)
z = ((a * 2a + b * 2a) + -5b * (a + b)) + -1(a + -1b)(2a + 5b)

Reorder the terms:
z = ((2ab + 2a2) + -5b * (a + b)) + -1(a + -1b)(2a + 5b)
z = ((2ab + 2a2) + -5b * (a + b)) + -1(a + -1b)(2a + 5b)
z = (2ab + 2a2 + (a * -5b + b * -5b)) + -1(a + -1b)(2a + 5b)
z = (2ab + 2a2 + (-5ab + -5b2)) + -1(a + -1b)(2a + 5b)

Reorder the terms:
z = (2ab + -5ab + 2a2 + -5b2) + -1(a + -1b)(2a + 5b)

Combine like terms: 2ab + -5ab = -3ab
z = (-3ab + 2a2 + -5b2) + -1(a + -1b)(2a + 5b)

Multiply (a + -1b) * (2a + 5b)
z = -3ab + 2a2 + -5b2 + -1(a(2a + 5b) + -1b * (2a + 5b))
z = -3ab + 2a2 + -5b2 + -1((2a * a + 5b * a) + -1b * (2a + 5b))

Reorder the terms:
z = -3ab + 2a2 + -5b2 + -1((5ab + 2a2) + -1b * (2a + 5b))
z = -3ab + 2a2 + -5b2 + -1((5ab + 2a2) + -1b * (2a + 5b))
z = -3ab + 2a2 + -5b2 + -1(5ab + 2a2 + (2a * -1b + 5b * -1b))
z = -3ab + 2a2 + -5b2 + -1(5ab + 2a2 + (-2ab + -5b2))

Reorder the terms:
z = -3ab + 2a2 + -5b2 + -1(5ab + -2ab + 2a2 + -5b2)

Combine like terms: 5ab + -2ab = 3ab
z = -3ab + 2a2 + -5b2 + -1(3ab + 2a2 + -5b2)
z = -3ab + 2a2 + -5b2 + (3ab * -1 + 2a2 * -1 + -5b2 * -1)
z = -3ab + 2a2 + -5b2 + (-3ab + -2a2 + 5b2)

Reorder the terms:
z = -3ab + -3ab + 2a2 + -2a2 + -5b2 + 5b2

Combine like terms: -3ab + -3ab = -6ab
z = -6ab + 2a2 + -2a2 + -5b2 + 5b2

Combine like terms: 2a2 + -2a2 = 0
z = -6ab + 0 + -5b2 + 5b2
z = -6ab + -5b2 + 5b2

Combine like terms: -5b2 + 5b2 = 0
z = -6ab + 0
z = -6ab

Solving
z = -6ab

Solving for variable 'z'.

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

Simplifying
z = -6ab

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