(2x+3)2-3x-4=0

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Solution for (2x+3)2-3x-4=0 equation:


Simplifying
(2x + 3) * 2 + -3x + -4 = 0

Reorder the terms:
(3 + 2x) * 2 + -3x + -4 = 0

Reorder the terms for easier multiplication:
2(3 + 2x) + -3x + -4 = 0
(3 * 2 + 2x * 2) + -3x + -4 = 0
(6 + 4x) + -3x + -4 = 0

Reorder the terms:
6 + -4 + 4x + -3x = 0

Combine like terms: 6 + -4 = 2
2 + 4x + -3x = 0

Combine like terms: 4x + -3x = 1x
2 + 1x = 0

Solving
2 + 1x = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 0 + -2
1x = 0 + -2

Combine like terms: 0 + -2 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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