2x^2-16x+60-30=(x-5)(2x-6)

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Solution for 2x^2-16x+60-30=(x-5)(2x-6) equation: 


Simplifying
2x2 + -16x + 60 + -30 = (x + -5)(2x + -6)

Reorder the terms:
60 + -30 + -16x + 2x2 = (x + -5)(2x + -6)

Combine like terms: 60 + -30 = 30
30 + -16x + 2x2 = (x + -5)(2x + -6)

Reorder the terms:
30 + -16x + 2x2 = (-5 + x)(2x + -6)

Reorder the terms:
30 + -16x + 2x2 = (-5 + x)(-6 + 2x)

Multiply (-5 + x) * (-6 + 2x)
30 + -16x + 2x2 = (-5(-6 + 2x) + x(-6 + 2x))
30 + -16x + 2x2 = ((-6 * -5 + 2x * -5) + x(-6 + 2x))
30 + -16x + 2x2 = ((30 + -10x) + x(-6 + 2x))
30 + -16x + 2x2 = (30 + -10x + (-6 * x + 2x * x))
30 + -16x + 2x2 = (30 + -10x + (-6x + 2x2))

Combine like terms: -10x + -6x = -16x
30 + -16x + 2x2 = (30 + -16x + 2x2)

Add '-30' to each side of the equation.
30 + -16x + -30 + 2x2 = 30 + -16x + -30 + 2x2

Reorder the terms:
30 + -30 + -16x + 2x2 = 30 + -16x + -30 + 2x2

Combine like terms: 30 + -30 = 0
0 + -16x + 2x2 = 30 + -16x + -30 + 2x2
-16x + 2x2 = 30 + -16x + -30 + 2x2

Reorder the terms:
-16x + 2x2 = 30 + -30 + -16x + 2x2

Combine like terms: 30 + -30 = 0
-16x + 2x2 = 0 + -16x + 2x2
-16x + 2x2 = -16x + 2x2

Add '16x' to each side of the equation.
-16x + 16x + 2x2 = -16x + 16x + 2x2

Combine like terms: -16x + 16x = 0
0 + 2x2 = -16x + 16x + 2x2
2x2 = -16x + 16x + 2x2

Combine like terms: -16x + 16x = 0
2x2 = 0 + 2x2
2x2 = 2x2

Add '-2x2' to each side of the equation.
2x2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 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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