6x^2-17x+5=(3x-1)(2x-5)

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Solution for 6x^2-17x+5=(3x-1)(2x-5) equation: 


Simplifying
6x2 + -17x + 5 = (3x + -1)(2x + -5)

Reorder the terms:
5 + -17x + 6x2 = (3x + -1)(2x + -5)

Reorder the terms:
5 + -17x + 6x2 = (-1 + 3x)(2x + -5)

Reorder the terms:
5 + -17x + 6x2 = (-1 + 3x)(-5 + 2x)

Multiply (-1 + 3x) * (-5 + 2x)
5 + -17x + 6x2 = (-1(-5 + 2x) + 3x * (-5 + 2x))
5 + -17x + 6x2 = ((-5 * -1 + 2x * -1) + 3x * (-5 + 2x))
5 + -17x + 6x2 = ((5 + -2x) + 3x * (-5 + 2x))
5 + -17x + 6x2 = (5 + -2x + (-5 * 3x + 2x * 3x))
5 + -17x + 6x2 = (5 + -2x + (-15x + 6x2))

Combine like terms: -2x + -15x = -17x
5 + -17x + 6x2 = (5 + -17x + 6x2)

Add '-5' to each side of the equation.
5 + -17x + -5 + 6x2 = 5 + -17x + -5 + 6x2

Reorder the terms:
5 + -5 + -17x + 6x2 = 5 + -17x + -5 + 6x2

Combine like terms: 5 + -5 = 0
0 + -17x + 6x2 = 5 + -17x + -5 + 6x2
-17x + 6x2 = 5 + -17x + -5 + 6x2

Reorder the terms:
-17x + 6x2 = 5 + -5 + -17x + 6x2

Combine like terms: 5 + -5 = 0
-17x + 6x2 = 0 + -17x + 6x2
-17x + 6x2 = -17x + 6x2

Add '17x' to each side of the equation.
-17x + 17x + 6x2 = -17x + 17x + 6x2

Combine like terms: -17x + 17x = 0
0 + 6x2 = -17x + 17x + 6x2
6x2 = -17x + 17x + 6x2

Combine like terms: -17x + 17x = 0
6x2 = 0 + 6x2
6x2 = 6x2

Add '-6x2' to each side of the equation.
6x2 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
0 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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