28x^2-26x+6=(7x-3)(4x-2)

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Solution for 28x^2-26x+6=(7x-3)(4x-2) equation: 


Simplifying
28x2 + -26x + 6 = (7x + -3)(4x + -2)

Reorder the terms:
6 + -26x + 28x2 = (7x + -3)(4x + -2)

Reorder the terms:
6 + -26x + 28x2 = (-3 + 7x)(4x + -2)

Reorder the terms:
6 + -26x + 28x2 = (-3 + 7x)(-2 + 4x)

Multiply (-3 + 7x) * (-2 + 4x)
6 + -26x + 28x2 = (-3(-2 + 4x) + 7x * (-2 + 4x))
6 + -26x + 28x2 = ((-2 * -3 + 4x * -3) + 7x * (-2 + 4x))
6 + -26x + 28x2 = ((6 + -12x) + 7x * (-2 + 4x))
6 + -26x + 28x2 = (6 + -12x + (-2 * 7x + 4x * 7x))
6 + -26x + 28x2 = (6 + -12x + (-14x + 28x2))

Combine like terms: -12x + -14x = -26x
6 + -26x + 28x2 = (6 + -26x + 28x2)

Add '-6' to each side of the equation.
6 + -26x + -6 + 28x2 = 6 + -26x + -6 + 28x2

Reorder the terms:
6 + -6 + -26x + 28x2 = 6 + -26x + -6 + 28x2

Combine like terms: 6 + -6 = 0
0 + -26x + 28x2 = 6 + -26x + -6 + 28x2
-26x + 28x2 = 6 + -26x + -6 + 28x2

Reorder the terms:
-26x + 28x2 = 6 + -6 + -26x + 28x2

Combine like terms: 6 + -6 = 0
-26x + 28x2 = 0 + -26x + 28x2
-26x + 28x2 = -26x + 28x2

Add '26x' to each side of the equation.
-26x + 26x + 28x2 = -26x + 26x + 28x2

Combine like terms: -26x + 26x = 0
0 + 28x2 = -26x + 26x + 28x2
28x2 = -26x + 26x + 28x2

Combine like terms: -26x + 26x = 0
28x2 = 0 + 28x2
28x2 = 28x2

Add '-28x2' to each side of the equation.
28x2 + -28x2 = 28x2 + -28x2

Combine like terms: 28x2 + -28x2 = 0
0 = 28x2 + -28x2

Combine like terms: 28x2 + -28x2 = 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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