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Simplifying
75 = (x)(3x)
Remove parenthesis around (3x)
75 = x * 3x
Reorder the terms for easier multiplication:
75 = 3x * x
Multiply x * x
75 = 3x2
Solving
75 = 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.
75 + -3x2 = 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
75 + -3x2 = 0
Add '-75' to each side of the equation.
75 + -75 + -3x2 = 0 + -75
Combine like terms: 75 + -75 = 0
0 + -3x2 = 0 + -75
-3x2 = 0 + -75
Combine like terms: 0 + -75 = -75
-3x2 = -75
Divide each side by '-3'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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