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

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


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

Reorder the terms:
4x(3 + x) + 3 = (2x + -3)(2x + 3)
(3 * 4x + x * 4x) + 3 = (2x + -3)(2x + 3)
(12x + 4x2) + 3 = (2x + -3)(2x + 3)

Reorder the terms:
3 + 12x + 4x2 = (2x + -3)(2x + 3)

Reorder the terms:
3 + 12x + 4x2 = (-3 + 2x)(2x + 3)

Reorder the terms:
3 + 12x + 4x2 = (-3 + 2x)(3 + 2x)

Multiply (-3 + 2x) * (3 + 2x)
3 + 12x + 4x2 = (-3(3 + 2x) + 2x * (3 + 2x))
3 + 12x + 4x2 = ((3 * -3 + 2x * -3) + 2x * (3 + 2x))
3 + 12x + 4x2 = ((-9 + -6x) + 2x * (3 + 2x))
3 + 12x + 4x2 = (-9 + -6x + (3 * 2x + 2x * 2x))
3 + 12x + 4x2 = (-9 + -6x + (6x + 4x2))

Combine like terms: -6x + 6x = 0
3 + 12x + 4x2 = (-9 + 0 + 4x2)
3 + 12x + 4x2 = (-9 + 4x2)

Add '-4x2' to each side of the equation.
3 + 12x + 4x2 + -4x2 = -9 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
3 + 12x + 0 = -9 + 4x2 + -4x2
3 + 12x = -9 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
3 + 12x = -9 + 0
3 + 12x = -9

Solving
3 + 12x = -9

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 12x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 12x = -9 + -3
12x = -9 + -3

Combine like terms: -9 + -3 = -12
12x = -12

Divide each side by '12'.
x = -1

Simplifying
x = -1

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