(5x^3-7x^2+4x-2)-(10x^3-10X^2-4x+10)=

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Solution for (5x^3-7x^2+4x-2)-(10x^3-10X^2-4x+10)= equation:


Simplifying
(5x3 + -7x2 + 4x + -2) + -1(10x3 + -10X2 + -4x + 10) = 0

Reorder the terms:
(-2 + 4x + -7x2 + 5x3) + -1(10x3 + -10X2 + -4x + 10) = 0

Remove parenthesis around (-2 + 4x + -7x2 + 5x3)
-2 + 4x + -7x2 + 5x3 + -1(10x3 + -10X2 + -4x + 10) = 0

Reorder the terms:
-2 + 4x + -7x2 + 5x3 + -1(10 + -10X2 + -4x + 10x3) = 0
-2 + 4x + -7x2 + 5x3 + (10 * -1 + -10X2 * -1 + -4x * -1 + 10x3 * -1) = 0
-2 + 4x + -7x2 + 5x3 + (-10 + 10X2 + 4x + -10x3) = 0

Reorder the terms:
-2 + -10 + 10X2 + 4x + 4x + -7x2 + 5x3 + -10x3 = 0

Combine like terms: -2 + -10 = -12
-12 + 10X2 + 4x + 4x + -7x2 + 5x3 + -10x3 = 0

Combine like terms: 4x + 4x = 8x
-12 + 10X2 + 8x + -7x2 + 5x3 + -10x3 = 0

Combine like terms: 5x3 + -10x3 = -5x3
-12 + 10X2 + 8x + -7x2 + -5x3 = 0

Solving
-12 + 10X2 + 8x + -7x2 + -5x3 = 0

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 10X2 + 8x + -7x2 + 12 + -5x3 = 0 + 12

Reorder the terms:
-12 + 12 + 10X2 + 8x + -7x2 + -5x3 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 10X2 + 8x + -7x2 + -5x3 = 0 + 12
10X2 + 8x + -7x2 + -5x3 = 0 + 12

Combine like terms: 0 + 12 = 12
10X2 + 8x + -7x2 + -5x3 = 12

Add '-8x' to each side of the equation.
10X2 + 8x + -7x2 + -8x + -5x3 = 12 + -8x

Reorder the terms:
10X2 + 8x + -8x + -7x2 + -5x3 = 12 + -8x

Combine like terms: 8x + -8x = 0
10X2 + 0 + -7x2 + -5x3 = 12 + -8x
10X2 + -7x2 + -5x3 = 12 + -8x

Add '7x2' to each side of the equation.
10X2 + -7x2 + 7x2 + -5x3 = 12 + -8x + 7x2

Combine like terms: -7x2 + 7x2 = 0
10X2 + 0 + -5x3 = 12 + -8x + 7x2
10X2 + -5x3 = 12 + -8x + 7x2

Add '5x3' to each side of the equation.
10X2 + -5x3 + 5x3 = 12 + -8x + 7x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
10X2 + 0 = 12 + -8x + 7x2 + 5x3
10X2 = 12 + -8x + 7x2 + 5x3

Divide each side by '10'.
X2 = 1.2 + -0.8x + 0.7x2 + 0.5x3

Simplifying
X2 = 1.2 + -0.8x + 0.7x2 + 0.5x3

Reorder the terms:
-1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 1.2 + -0.8x + 0.7x2 + 0.5x3 + -1.2 + 0.8x + -0.7x2 + -0.5x3

Reorder the terms:
-1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 1.2 + -1.2 + -0.8x + 0.8x + 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3

Combine like terms: 1.2 + -1.2 = 0.0
-1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.0 + -0.8x + 0.8x + 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3
-1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = -0.8x + 0.8x + 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3

Combine like terms: -0.8x + 0.8x = 0.0
-1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.0 + 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3
-1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.7x2 + -0.7x2 + 0.5x3 + -0.5x3

Combine like terms: 0.7x2 + -0.7x2 = 0.0
-1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.0 + 0.5x3 + -0.5x3
-1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.5x3 + -0.5x3

Combine like terms: 0.5x3 + -0.5x3 = 0.0
-1.2 + X2 + 0.8x + -0.7x2 + -0.5x3 = 0.0

The solution to this equation could not be determined.

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