M=(3x+4)(x-5)-(3x+4)

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Solution for M=(3x+4)(x-5)-(3x+4) equation: 


Simplifying
M = (3x + 4)(x + -5) + -1(3x + 4)

Reorder the terms:
M = (4 + 3x)(x + -5) + -1(3x + 4)

Reorder the terms:
M = (4 + 3x)(-5 + x) + -1(3x + 4)

Multiply (4 + 3x) * (-5 + x)
M = (4(-5 + x) + 3x * (-5 + x)) + -1(3x + 4)
M = ((-5 * 4 + x * 4) + 3x * (-5 + x)) + -1(3x + 4)
M = ((-20 + 4x) + 3x * (-5 + x)) + -1(3x + 4)
M = (-20 + 4x + (-5 * 3x + x * 3x)) + -1(3x + 4)
M = (-20 + 4x + (-15x + 3x2)) + -1(3x + 4)

Combine like terms: 4x + -15x = -11x
M = (-20 + -11x + 3x2) + -1(3x + 4)

Reorder the terms:
M = -20 + -11x + 3x2 + -1(4 + 3x)
M = -20 + -11x + 3x2 + (4 * -1 + 3x * -1)
M = -20 + -11x + 3x2 + (-4 + -3x)

Reorder the terms:
M = -20 + -4 + -11x + -3x + 3x2

Combine like terms: -20 + -4 = -24
M = -24 + -11x + -3x + 3x2

Combine like terms: -11x + -3x = -14x
M = -24 + -14x + 3x2

Solving
M = -24 + -14x + 3x2

Solving for variable 'M'.

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

Simplifying
M = -24 + -14x + 3x2

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