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Simplifying
(2x + 3)(2x + -3) = 3x(x + 2) + -6x
Reorder the terms:
(3 + 2x)(2x + -3) = 3x(x + 2) + -6x
Reorder the terms:
(3 + 2x)(-3 + 2x) = 3x(x + 2) + -6x
Multiply (3 + 2x) * (-3 + 2x)
(3(-3 + 2x) + 2x * (-3 + 2x)) = 3x(x + 2) + -6x
((-3 * 3 + 2x * 3) + 2x * (-3 + 2x)) = 3x(x + 2) + -6x
((-9 + 6x) + 2x * (-3 + 2x)) = 3x(x + 2) + -6x
(-9 + 6x + (-3 * 2x + 2x * 2x)) = 3x(x + 2) + -6x
(-9 + 6x + (-6x + 4x2)) = 3x(x + 2) + -6x
Combine like terms: 6x + -6x = 0
(-9 + 0 + 4x2) = 3x(x + 2) + -6x
(-9 + 4x2) = 3x(x + 2) + -6x
Reorder the terms:
-9 + 4x2 = 3x(2 + x) + -6x
-9 + 4x2 = (2 * 3x + x * 3x) + -6x
-9 + 4x2 = (6x + 3x2) + -6x
Reorder the terms:
-9 + 4x2 = 6x + -6x + 3x2
Combine like terms: 6x + -6x = 0
-9 + 4x2 = 0 + 3x2
-9 + 4x2 = 3x2
Solving
-9 + 4x2 = 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
-9 + 4x2 + -3x2 = 3x2 + -3x2
Combine like terms: 4x2 + -3x2 = 1x2
-9 + 1x2 = 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-9 + 1x2 = 0
Add '9' to each side of the equation.
-9 + 9 + 1x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 1x2 = 0 + 9
1x2 = 0 + 9
Combine like terms: 0 + 9 = 9
1x2 = 9
Divide each side by '1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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