2x^2-10x+8=2(x-1)(x-4)

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Solution for 2x^2-10x+8=2(x-1)(x-4) equation: 


Simplifying
2x2 + -10x + 8 = 2(x + -1)(x + -4)

Reorder the terms:
8 + -10x + 2x2 = 2(x + -1)(x + -4)

Reorder the terms:
8 + -10x + 2x2 = 2(-1 + x)(x + -4)

Reorder the terms:
8 + -10x + 2x2 = 2(-1 + x)(-4 + x)

Multiply (-1 + x) * (-4 + x)
8 + -10x + 2x2 = 2(-1(-4 + x) + x(-4 + x))
8 + -10x + 2x2 = 2((-4 * -1 + x * -1) + x(-4 + x))
8 + -10x + 2x2 = 2((4 + -1x) + x(-4 + x))
8 + -10x + 2x2 = 2(4 + -1x + (-4 * x + x * x))
8 + -10x + 2x2 = 2(4 + -1x + (-4x + x2))

Combine like terms: -1x + -4x = -5x
8 + -10x + 2x2 = 2(4 + -5x + x2)
8 + -10x + 2x2 = (4 * 2 + -5x * 2 + x2 * 2)
8 + -10x + 2x2 = (8 + -10x + 2x2)

Add '-8' to each side of the equation.
8 + -10x + -8 + 2x2 = 8 + -10x + -8 + 2x2

Reorder the terms:
8 + -8 + -10x + 2x2 = 8 + -10x + -8 + 2x2

Combine like terms: 8 + -8 = 0
0 + -10x + 2x2 = 8 + -10x + -8 + 2x2
-10x + 2x2 = 8 + -10x + -8 + 2x2

Reorder the terms:
-10x + 2x2 = 8 + -8 + -10x + 2x2

Combine like terms: 8 + -8 = 0
-10x + 2x2 = 0 + -10x + 2x2
-10x + 2x2 = -10x + 2x2

Add '10x' to each side of the equation.
-10x + 10x + 2x2 = -10x + 10x + 2x2

Combine like terms: -10x + 10x = 0
0 + 2x2 = -10x + 10x + 2x2
2x2 = -10x + 10x + 2x2

Combine like terms: -10x + 10x = 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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