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Simplifying
36x2 + -6 = 12x2 + -3
Reorder the terms:
-6 + 36x2 = 12x2 + -3
Reorder the terms:
-6 + 36x2 = -3 + 12x2
Solving
-6 + 36x2 = -3 + 12x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12x2' to each side of the equation.
-6 + 36x2 + -12x2 = -3 + 12x2 + -12x2
Combine like terms: 36x2 + -12x2 = 24x2
-6 + 24x2 = -3 + 12x2 + -12x2
Combine like terms: 12x2 + -12x2 = 0
-6 + 24x2 = -3 + 0
-6 + 24x2 = -3
Add '6' to each side of the equation.
-6 + 6 + 24x2 = -3 + 6
Combine like terms: -6 + 6 = 0
0 + 24x2 = -3 + 6
24x2 = -3 + 6
Combine like terms: -3 + 6 = 3
24x2 = 3
Divide each side by '24'.
x2 = 0.125
Simplifying
x2 = 0.125
Take the square root of each side:
x = {-0.353553391, 0.353553391}
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