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Simplifying
18 * 18 = 6x * 24x
Multiply 18 * 18
324 = 6x * 24x
Reorder the terms for easier multiplication:
324 = 6 * 24x * x
Multiply 6 * 24
324 = 144x * x
Multiply x * x
324 = 144x2
Solving
324 = 144x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-144x2' to each side of the equation.
324 + -144x2 = 144x2 + -144x2
Combine like terms: 144x2 + -144x2 = 0
324 + -144x2 = 0
Add '-324' to each side of the equation.
324 + -324 + -144x2 = 0 + -324
Combine like terms: 324 + -324 = 0
0 + -144x2 = 0 + -324
-144x2 = 0 + -324
Combine like terms: 0 + -324 = -324
-144x2 = -324
Divide each side by '-144'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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