Y=(2x-3)(x+5)+4

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Solution for Y=(2x-3)(x+5)+4 equation: 


Simplifying
Y = (2x + -3)(x + 5) + 4

Reorder the terms:
Y = (-3 + 2x)(x + 5) + 4

Reorder the terms:
Y = (-3 + 2x)(5 + x) + 4

Multiply (-3 + 2x) * (5 + x)
Y = (-3(5 + x) + 2x * (5 + x)) + 4
Y = ((5 * -3 + x * -3) + 2x * (5 + x)) + 4
Y = ((-15 + -3x) + 2x * (5 + x)) + 4
Y = (-15 + -3x + (5 * 2x + x * 2x)) + 4
Y = (-15 + -3x + (10x + 2x2)) + 4

Combine like terms: -3x + 10x = 7x
Y = (-15 + 7x + 2x2) + 4

Reorder the terms:
Y = -15 + 4 + 7x + 2x2

Combine like terms: -15 + 4 = -11
Y = -11 + 7x + 2x2

Solving
Y = -11 + 7x + 2x2

Solving for variable 'Y'.

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

Simplifying
Y = -11 + 7x + 2x2

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