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Simplifying
(7x + 14)(18 + -9x) = 0
Reorder the terms:
(14 + 7x)(18 + -9x) = 0
Multiply (14 + 7x) * (18 + -9x)
(14(18 + -9x) + 7x * (18 + -9x)) = 0
((18 * 14 + -9x * 14) + 7x * (18 + -9x)) = 0
((252 + -126x) + 7x * (18 + -9x)) = 0
(252 + -126x + (18 * 7x + -9x * 7x)) = 0
(252 + -126x + (126x + -63x2)) = 0
Combine like terms: -126x + 126x = 0
(252 + 0 + -63x2) = 0
(252 + -63x2) = 0
Solving
252 + -63x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-252' to each side of the equation.
252 + -252 + -63x2 = 0 + -252
Combine like terms: 252 + -252 = 0
0 + -63x2 = 0 + -252
-63x2 = 0 + -252
Combine like terms: 0 + -252 = -252
-63x2 = -252
Divide each side by '-63'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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