-0.25x^3+1.25x^2+x-5=0.25(5-x)(x^2-4)

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Solution for -0.25x^3+1.25x^2+x-5=0.25(5-x)(x^2-4) equation: 


Simplifying
-0.25x3 + 1.25x2 + x + -5 = 0.25(5 + -1x)(x2 + -4)

Reorder the terms:
-5 + x + 1.25x2 + -0.25x3 = 0.25(5 + -1x)(x2 + -4)

Reorder the terms:
-5 + x + 1.25x2 + -0.25x3 = 0.25(5 + -1x)(-4 + x2)

Multiply (5 + -1x) * (-4 + x2)
-5 + x + 1.25x2 + -0.25x3 = 0.25(5(-4 + x2) + -1x * (-4 + x2))
-5 + x + 1.25x2 + -0.25x3 = 0.25((-4 * 5 + x2 * 5) + -1x * (-4 + x2))
-5 + x + 1.25x2 + -0.25x3 = 0.25((-20 + 5x2) + -1x * (-4 + x2))
-5 + x + 1.25x2 + -0.25x3 = 0.25(-20 + 5x2 + (-4 * -1x + x2 * -1x))
-5 + x + 1.25x2 + -0.25x3 = 0.25(-20 + 5x2 + (4x + -1x3))

Reorder the terms:
-5 + x + 1.25x2 + -0.25x3 = 0.25(-20 + 4x + 5x2 + -1x3)
-5 + x + 1.25x2 + -0.25x3 = 0.25(-20 + 4x + 5x2 + -1x3)
-5 + x + 1.25x2 + -0.25x3 = (-20 * 0.25 + 4x * 0.25 + 5x2 * 0.25 + -1x3 * 0.25)
-5 + x + 1.25x2 + -0.25x3 = (-5 + 1x + 1.25x2 + -0.25x3)

Add '5' to each side of the equation.
-5 + x + 1.25x2 + 5 + -0.25x3 = -5 + 1x + 1.25x2 + 5 + -0.25x3

Reorder the terms:
-5 + 5 + x + 1.25x2 + -0.25x3 = -5 + 1x + 1.25x2 + 5 + -0.25x3

Combine like terms: -5 + 5 = 0
0 + x + 1.25x2 + -0.25x3 = -5 + 1x + 1.25x2 + 5 + -0.25x3
x + 1.25x2 + -0.25x3 = -5 + 1x + 1.25x2 + 5 + -0.25x3

Reorder the terms:
x + 1.25x2 + -0.25x3 = -5 + 5 + 1x + 1.25x2 + -0.25x3

Combine like terms: -5 + 5 = 0
x + 1.25x2 + -0.25x3 = 0 + 1x + 1.25x2 + -0.25x3
x + 1.25x2 + -0.25x3 = 1x + 1.25x2 + -0.25x3

Add '-1.25x2' to each side of the equation.
x + 1.25x2 + -1.25x2 + -0.25x3 = 1x + 1.25x2 + -1.25x2 + -0.25x3

Combine like terms: 1.25x2 + -1.25x2 = 0.00
x + 0.00 + -0.25x3 = 1x + 1.25x2 + -1.25x2 + -0.25x3
x + -0.25x3 = 1x + 1.25x2 + -1.25x2 + -0.25x3

Combine like terms: 1.25x2 + -1.25x2 = 0.00
x + -0.25x3 = 1x + 0.00 + -0.25x3
x + -0.25x3 = 1x + -0.25x3

Add '0.25x3' to each side of the equation.
x + -0.25x3 + 0.25x3 = 1x + -0.25x3 + 0.25x3

Combine like terms: -0.25x3 + 0.25x3 = 0.00
x + 0.00 = 1x + -0.25x3 + 0.25x3
x = 1x + -0.25x3 + 0.25x3

Combine like terms: -0.25x3 + 0.25x3 = 0.00
x = 1x + 0.00
x = 1x

Solving
x = 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
x + -1x = 1x + -1x

Combine like terms: x + -1x = 0
0 = 1x + -1x

Combine like terms: 1x + -1x = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.

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