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Simplifying
270 = 5x(3x)
Remove parenthesis around (3x)
270 = 5x * 3x
Reorder the terms for easier multiplication:
270 = 5 * 3x * x
Multiply 5 * 3
270 = 15x * x
Multiply x * x
270 = 15x2
Solving
270 = 15x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15x2' to each side of the equation.
270 + -15x2 = 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
270 + -15x2 = 0
Add '-270' to each side of the equation.
270 + -270 + -15x2 = 0 + -270
Combine like terms: 270 + -270 = 0
0 + -15x2 = 0 + -270
-15x2 = 0 + -270
Combine like terms: 0 + -270 = -270
-15x2 = -270
Divide each side by '-15'.
x2 = 18
Simplifying
x2 = 18
Take the square root of each side:
x = {-4.242640687, 4.242640687}
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