X(5x-10)+4=6(x+2)+5x^2

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Solution for X(5x-10)+4=6(x+2)+5x^2 equation:


Simplifying
X(5x + -10) + 4 = 6(x + 2) + 5x2

Reorder the terms:
X(-10 + 5x) + 4 = 6(x + 2) + 5x2
(-10 * X + 5x * X) + 4 = 6(x + 2) + 5x2
(-10X + 5xX) + 4 = 6(x + 2) + 5x2

Reorder the terms:
4 + -10X + 5xX = 6(x + 2) + 5x2

Reorder the terms:
4 + -10X + 5xX = 6(2 + x) + 5x2
4 + -10X + 5xX = (2 * 6 + x * 6) + 5x2
4 + -10X + 5xX = (12 + 6x) + 5x2

Solving
4 + -10X + 5xX = 12 + 6x + 5x2

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + -10X + -4 + 5xX = 12 + 6x + -4 + 5x2

Reorder the terms:
4 + -4 + -10X + 5xX = 12 + 6x + -4 + 5x2

Combine like terms: 4 + -4 = 0
0 + -10X + 5xX = 12 + 6x + -4 + 5x2
-10X + 5xX = 12 + 6x + -4 + 5x2

Reorder the terms:
-10X + 5xX = 12 + -4 + 6x + 5x2

Combine like terms: 12 + -4 = 8
-10X + 5xX = 8 + 6x + 5x2

Reorder the terms:
-8 + -10X + -6x + 5xX + -5x2 = 8 + 6x + 5x2 + -8 + -6x + -5x2

Reorder the terms:
-8 + -10X + -6x + 5xX + -5x2 = 8 + -8 + 6x + -6x + 5x2 + -5x2

Combine like terms: 8 + -8 = 0
-8 + -10X + -6x + 5xX + -5x2 = 0 + 6x + -6x + 5x2 + -5x2
-8 + -10X + -6x + 5xX + -5x2 = 6x + -6x + 5x2 + -5x2

Combine like terms: 6x + -6x = 0
-8 + -10X + -6x + 5xX + -5x2 = 0 + 5x2 + -5x2
-8 + -10X + -6x + 5xX + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-8 + -10X + -6x + 5xX + -5x2 = 0

The solution to this equation could not be determined.

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