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

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


Simplifying
X(2x + 3) + -5 = 7 + -1(3 + -2x2)

Reorder the terms:
X(3 + 2x) + -5 = 7 + -1(3 + -2x2)
(3 * X + 2x * X) + -5 = 7 + -1(3 + -2x2)
(3X + 2xX) + -5 = 7 + -1(3 + -2x2)

Reorder the terms:
-5 + 3X + 2xX = 7 + -1(3 + -2x2)
-5 + 3X + 2xX = 7 + (3 * -1 + -2x2 * -1)
-5 + 3X + 2xX = 7 + (-3 + 2x2)

Combine like terms: 7 + -3 = 4
-5 + 3X + 2xX = 4 + 2x2

Solving
-5 + 3X + 2xX = 4 + 2x2

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + 3X + 5 + 2xX = 4 + 5 + 2x2

Reorder the terms:
-5 + 5 + 3X + 2xX = 4 + 5 + 2x2

Combine like terms: -5 + 5 = 0
0 + 3X + 2xX = 4 + 5 + 2x2
3X + 2xX = 4 + 5 + 2x2

Combine like terms: 4 + 5 = 9
3X + 2xX = 9 + 2x2

Reorder the terms:
-9 + 3X + 2xX + -2x2 = 9 + 2x2 + -9 + -2x2

Reorder the terms:
-9 + 3X + 2xX + -2x2 = 9 + -9 + 2x2 + -2x2

Combine like terms: 9 + -9 = 0
-9 + 3X + 2xX + -2x2 = 0 + 2x2 + -2x2
-9 + 3X + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-9 + 3X + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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