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Simplifying
(3x + 6)(x + -2) = 7
Reorder the terms:
(6 + 3x)(x + -2) = 7
Reorder the terms:
(6 + 3x)(-2 + x) = 7
Multiply (6 + 3x) * (-2 + x)
(6(-2 + x) + 3x * (-2 + x)) = 7
((-2 * 6 + x * 6) + 3x * (-2 + x)) = 7
((-12 + 6x) + 3x * (-2 + x)) = 7
(-12 + 6x + (-2 * 3x + x * 3x)) = 7
(-12 + 6x + (-6x + 3x2)) = 7
Combine like terms: 6x + -6x = 0
(-12 + 0 + 3x2) = 7
(-12 + 3x2) = 7
Solving
-12 + 3x2 = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 3x2 = 7 + 12
Combine like terms: -12 + 12 = 0
0 + 3x2 = 7 + 12
3x2 = 7 + 12
Combine like terms: 7 + 12 = 19
3x2 = 19
Divide each side by '3'.
x2 = 6.333333333
Simplifying
x2 = 6.333333333
Take the square root of each side:
x = {-2.516611478, 2.516611478}
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