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Simplifying
(3x + -5)(3x + 5) = 20
Reorder the terms:
(-5 + 3x)(3x + 5) = 20
Reorder the terms:
(-5 + 3x)(5 + 3x) = 20
Multiply (-5 + 3x) * (5 + 3x)
(-5(5 + 3x) + 3x * (5 + 3x)) = 20
((5 * -5 + 3x * -5) + 3x * (5 + 3x)) = 20
((-25 + -15x) + 3x * (5 + 3x)) = 20
(-25 + -15x + (5 * 3x + 3x * 3x)) = 20
(-25 + -15x + (15x + 9x2)) = 20
Combine like terms: -15x + 15x = 0
(-25 + 0 + 9x2) = 20
(-25 + 9x2) = 20
Solving
-25 + 9x2 = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 9x2 = 20 + 25
Combine like terms: -25 + 25 = 0
0 + 9x2 = 20 + 25
9x2 = 20 + 25
Combine like terms: 20 + 25 = 45
9x2 = 45
Divide each side by '9'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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