y=(2x+5)(3x-2)+1

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Solution for y=(2x+5)(3x-2)+1 equation: 


Simplifying
y = (2x + 5)(3x + -2) + 1

Reorder the terms:
y = (5 + 2x)(3x + -2) + 1

Reorder the terms:
y = (5 + 2x)(-2 + 3x) + 1

Multiply (5 + 2x) * (-2 + 3x)
y = (5(-2 + 3x) + 2x * (-2 + 3x)) + 1
y = ((-2 * 5 + 3x * 5) + 2x * (-2 + 3x)) + 1
y = ((-10 + 15x) + 2x * (-2 + 3x)) + 1
y = (-10 + 15x + (-2 * 2x + 3x * 2x)) + 1
y = (-10 + 15x + (-4x + 6x2)) + 1

Combine like terms: 15x + -4x = 11x
y = (-10 + 11x + 6x2) + 1

Reorder the terms:
y = -10 + 1 + 11x + 6x2

Combine like terms: -10 + 1 = -9
y = -9 + 11x + 6x2

Solving
y = -9 + 11x + 6x2

Solving for variable 'y'.

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

Simplifying
y = -9 + 11x + 6x2

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