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Simplifying
(2x + 3)(2x + 3) = 12x + 18
Reorder the terms:
(3 + 2x)(2x + 3) = 12x + 18
Reorder the terms:
(3 + 2x)(3 + 2x) = 12x + 18
Multiply (3 + 2x) * (3 + 2x)
(3(3 + 2x) + 2x * (3 + 2x)) = 12x + 18
((3 * 3 + 2x * 3) + 2x * (3 + 2x)) = 12x + 18
((9 + 6x) + 2x * (3 + 2x)) = 12x + 18
(9 + 6x + (3 * 2x + 2x * 2x)) = 12x + 18
(9 + 6x + (6x + 4x2)) = 12x + 18
Combine like terms: 6x + 6x = 12x
(9 + 12x + 4x2) = 12x + 18
Reorder the terms:
9 + 12x + 4x2 = 18 + 12x
Add '-12x' to each side of the equation.
9 + 12x + -12x + 4x2 = 18 + 12x + -12x
Combine like terms: 12x + -12x = 0
9 + 0 + 4x2 = 18 + 12x + -12x
9 + 4x2 = 18 + 12x + -12x
Combine like terms: 12x + -12x = 0
9 + 4x2 = 18 + 0
9 + 4x2 = 18
Solving
9 + 4x2 = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 4x2 = 18 + -9
Combine like terms: 9 + -9 = 0
0 + 4x2 = 18 + -9
4x2 = 18 + -9
Combine like terms: 18 + -9 = 9
4x2 = 9
Divide each side by '4'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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