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Simplifying
(3 + x)(3 + -1x) = 3x2 + -133
Multiply (3 + x) * (3 + -1x)
(3(3 + -1x) + x(3 + -1x)) = 3x2 + -133
((3 * 3 + -1x * 3) + x(3 + -1x)) = 3x2 + -133
((9 + -3x) + x(3 + -1x)) = 3x2 + -133
(9 + -3x + (3 * x + -1x * x)) = 3x2 + -133
(9 + -3x + (3x + -1x2)) = 3x2 + -133
Combine like terms: -3x + 3x = 0
(9 + 0 + -1x2) = 3x2 + -133
(9 + -1x2) = 3x2 + -133
Reorder the terms:
9 + -1x2 = -133 + 3x2
Solving
9 + -1x2 = -133 + 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 + -1x2 + -3x2 = -133 + 3x2 + -3x2
Combine like terms: -1x2 + -3x2 = -4x2
9 + -4x2 = -133 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
9 + -4x2 = -133 + 0
9 + -4x2 = -133
Add '-9' to each side of the equation.
9 + -9 + -4x2 = -133 + -9
Combine like terms: 9 + -9 = 0
0 + -4x2 = -133 + -9
-4x2 = -133 + -9
Combine like terms: -133 + -9 = -142
-4x2 = -142
Divide each side by '-4'.
x2 = 35.5
Simplifying
x2 = 35.5
Take the square root of each side:
x = {-5.958187644, 5.958187644}
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