(X+1)2-7=3x(2x-3)

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Solution for (X+1)2-7=3x(2x-3) equation:


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

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

Reorder the terms for easier multiplication:
2(1 + X) + -7 = 3x(2x + -3)
(1 * 2 + X * 2) + -7 = 3x(2x + -3)
(2 + 2X) + -7 = 3x(2x + -3)

Reorder the terms:
2 + -7 + 2X = 3x(2x + -3)

Combine like terms: 2 + -7 = -5
-5 + 2X = 3x(2x + -3)

Reorder the terms:
-5 + 2X = 3x(-3 + 2x)
-5 + 2X = (-3 * 3x + 2x * 3x)
-5 + 2X = (-9x + 6x2)

Solving
-5 + 2X = -9x + 6x2

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 + 5 + 2X = -9x + 5 + 6x2

Combine like terms: -5 + 5 = 0
0 + 2X = -9x + 5 + 6x2
2X = -9x + 5 + 6x2

Reorder the terms:
2X = 5 + -9x + 6x2

Divide each side by '2'.
X = 2.5 + -4.5x + 3x2

Simplifying
X = 2.5 + -4.5x + 3x2

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