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Simplifying
576 + 18x = (6x + -3)(2x + 4)
Reorder the terms:
576 + 18x = (-3 + 6x)(2x + 4)
Reorder the terms:
576 + 18x = (-3 + 6x)(4 + 2x)
Multiply (-3 + 6x) * (4 + 2x)
576 + 18x = (-3(4 + 2x) + 6x * (4 + 2x))
576 + 18x = ((4 * -3 + 2x * -3) + 6x * (4 + 2x))
576 + 18x = ((-12 + -6x) + 6x * (4 + 2x))
576 + 18x = (-12 + -6x + (4 * 6x + 2x * 6x))
576 + 18x = (-12 + -6x + (24x + 12x2))
Combine like terms: -6x + 24x = 18x
576 + 18x = (-12 + 18x + 12x2)
Add '-18x' to each side of the equation.
576 + 18x + -18x = -12 + 18x + -18x + 12x2
Combine like terms: 18x + -18x = 0
576 + 0 = -12 + 18x + -18x + 12x2
576 = -12 + 18x + -18x + 12x2
Combine like terms: 18x + -18x = 0
576 = -12 + 0 + 12x2
576 = -12 + 12x2
Solving
576 = -12 + 12x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x2' to each side of the equation.
576 + -12x2 = -12 + 12x2 + -12x2
Combine like terms: 12x2 + -12x2 = 0
576 + -12x2 = -12 + 0
576 + -12x2 = -12
Add '-576' to each side of the equation.
576 + -576 + -12x2 = -12 + -576
Combine like terms: 576 + -576 = 0
0 + -12x2 = -12 + -576
-12x2 = -12 + -576
Combine like terms: -12 + -576 = -588
-12x2 = -588
Divide each side by '-12'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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