0.5x^2-3x+4=0.5(x-2)(x-4)

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Solution for 0.5x^2-3x+4=0.5(x-2)(x-4) equation: 


Simplifying
0.5x2 + -3x + 4 = 0.5(x + -2)(x + -4)

Reorder the terms:
4 + -3x + 0.5x2 = 0.5(x + -2)(x + -4)

Reorder the terms:
4 + -3x + 0.5x2 = 0.5(-2 + x)(x + -4)

Reorder the terms:
4 + -3x + 0.5x2 = 0.5(-2 + x)(-4 + x)

Multiply (-2 + x) * (-4 + x)
4 + -3x + 0.5x2 = 0.5(-2(-4 + x) + x(-4 + x))
4 + -3x + 0.5x2 = 0.5((-4 * -2 + x * -2) + x(-4 + x))
4 + -3x + 0.5x2 = 0.5((8 + -2x) + x(-4 + x))
4 + -3x + 0.5x2 = 0.5(8 + -2x + (-4 * x + x * x))
4 + -3x + 0.5x2 = 0.5(8 + -2x + (-4x + x2))

Combine like terms: -2x + -4x = -6x
4 + -3x + 0.5x2 = 0.5(8 + -6x + x2)
4 + -3x + 0.5x2 = (8 * 0.5 + -6x * 0.5 + x2 * 0.5)
4 + -3x + 0.5x2 = (4 + -3x + 0.5x2)

Add '-4' to each side of the equation.
4 + -3x + -4 + 0.5x2 = 4 + -3x + -4 + 0.5x2

Reorder the terms:
4 + -4 + -3x + 0.5x2 = 4 + -3x + -4 + 0.5x2

Combine like terms: 4 + -4 = 0
0 + -3x + 0.5x2 = 4 + -3x + -4 + 0.5x2
-3x + 0.5x2 = 4 + -3x + -4 + 0.5x2

Reorder the terms:
-3x + 0.5x2 = 4 + -4 + -3x + 0.5x2

Combine like terms: 4 + -4 = 0
-3x + 0.5x2 = 0 + -3x + 0.5x2
-3x + 0.5x2 = -3x + 0.5x2

Add '3x' to each side of the equation.
-3x + 3x + 0.5x2 = -3x + 3x + 0.5x2

Combine like terms: -3x + 3x = 0
0 + 0.5x2 = -3x + 3x + 0.5x2
0.5x2 = -3x + 3x + 0.5x2

Combine like terms: -3x + 3x = 0
0.5x2 = 0 + 0.5x2
0.5x2 = 0.5x2

Add '-0.5x2' to each side of the equation.
0.5x2 + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
0.0 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
0.0 = 0.0

Solving
0.0 = 0.0

Couldn't find a variable to solve for.

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

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