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Simplifying
12(7) = 7x(3x)
Multiply 12 * 7
84 = 7x(3x)
Remove parenthesis around (3x)
84 = 7x * 3x
Reorder the terms for easier multiplication:
84 = 7 * 3x * x
Multiply 7 * 3
84 = 21x * x
Multiply x * x
84 = 21x2
Solving
84 = 21x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21x2' to each side of the equation.
84 + -21x2 = 21x2 + -21x2
Combine like terms: 21x2 + -21x2 = 0
84 + -21x2 = 0
Add '-84' to each side of the equation.
84 + -84 + -21x2 = 0 + -84
Combine like terms: 84 + -84 = 0
0 + -21x2 = 0 + -84
-21x2 = 0 + -84
Combine like terms: 0 + -84 = -84
-21x2 = -84
Divide each side by '-21'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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