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Simplifying
15x2 + -2 = 6x2 + -1
Reorder the terms:
-2 + 15x2 = 6x2 + -1
Reorder the terms:
-2 + 15x2 = -1 + 6x2
Solving
-2 + 15x2 = -1 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
-2 + 15x2 + -6x2 = -1 + 6x2 + -6x2
Combine like terms: 15x2 + -6x2 = 9x2
-2 + 9x2 = -1 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
-2 + 9x2 = -1 + 0
-2 + 9x2 = -1
Add '2' to each side of the equation.
-2 + 2 + 9x2 = -1 + 2
Combine like terms: -2 + 2 = 0
0 + 9x2 = -1 + 2
9x2 = -1 + 2
Combine like terms: -1 + 2 = 1
9x2 = 1
Divide each side by '9'.
x2 = 0.1111111111
Simplifying
x2 = 0.1111111111
Take the square root of each side:
x = {-0.333333333, 0.333333333}
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