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Simplifying
20 = (x + -3)(x + 3)
Reorder the terms:
20 = (-3 + x)(x + 3)
Reorder the terms:
20 = (-3 + x)(3 + x)
Multiply (-3 + x) * (3 + x)
20 = (-3(3 + x) + x(3 + x))
20 = ((3 * -3 + x * -3) + x(3 + x))
20 = ((-9 + -3x) + x(3 + x))
20 = (-9 + -3x + (3 * x + x * x))
20 = (-9 + -3x + (3x + x2))
Combine like terms: -3x + 3x = 0
20 = (-9 + 0 + x2)
20 = (-9 + x2)
Solving
20 = -9 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
20 + -1x2 = -9 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
20 + -1x2 = -9 + 0
20 + -1x2 = -9
Add '-20' to each side of the equation.
20 + -20 + -1x2 = -9 + -20
Combine like terms: 20 + -20 = 0
0 + -1x2 = -9 + -20
-1x2 = -9 + -20
Combine like terms: -9 + -20 = -29
-1x2 = -29
Divide each side by '-1'.
x2 = 29
Simplifying
x2 = 29
Take the square root of each side:
x = {-5.385164807, 5.385164807}
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