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

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


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

Multiply G * x
xG = (2x + 5)(3x + -1)

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

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

Multiply (5 + 2x) * (-1 + 3x)
xG = (5(-1 + 3x) + 2x * (-1 + 3x))
xG = ((-1 * 5 + 3x * 5) + 2x * (-1 + 3x))
xG = ((-5 + 15x) + 2x * (-1 + 3x))
xG = (-5 + 15x + (-1 * 2x + 3x * 2x))
xG = (-5 + 15x + (-2x + 6x2))

Combine like terms: 15x + -2x = 13x
xG = (-5 + 13x + 6x2)

Solving
xG = -5 + 13x + 6x2

Solving for variable 'x'.

Reorder the terms:
5 + -13x + xG + -6x2 = -5 + 13x + 6x2 + 5 + -13x + -6x2

Reorder the terms:
5 + -13x + xG + -6x2 = -5 + 5 + 13x + -13x + 6x2 + -6x2

Combine like terms: -5 + 5 = 0
5 + -13x + xG + -6x2 = 0 + 13x + -13x + 6x2 + -6x2
5 + -13x + xG + -6x2 = 13x + -13x + 6x2 + -6x2

Combine like terms: 13x + -13x = 0
5 + -13x + xG + -6x2 = 0 + 6x2 + -6x2
5 + -13x + xG + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
5 + -13x + xG + -6x2 = 0

The solution to this equation could not be determined.

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