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Simplifying
3x(2x + 4) = 6(2x + 1)
Reorder the terms:
3x(4 + 2x) = 6(2x + 1)
(4 * 3x + 2x * 3x) = 6(2x + 1)
(12x + 6x2) = 6(2x + 1)
Reorder the terms:
12x + 6x2 = 6(1 + 2x)
12x + 6x2 = (1 * 6 + 2x * 6)
12x + 6x2 = (6 + 12x)
Add '-12x' to each side of the equation.
12x + -12x + 6x2 = 6 + 12x + -12x
Combine like terms: 12x + -12x = 0
0 + 6x2 = 6 + 12x + -12x
6x2 = 6 + 12x + -12x
Combine like terms: 12x + -12x = 0
6x2 = 6 + 0
6x2 = 6
Solving
6x2 = 6
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '6'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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