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Simplifying
14x2 + 1 = 6x2 + 7
Reorder the terms:
1 + 14x2 = 6x2 + 7
Reorder the terms:
1 + 14x2 = 7 + 6x2
Solving
1 + 14x2 = 7 + 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.
1 + 14x2 + -6x2 = 7 + 6x2 + -6x2
Combine like terms: 14x2 + -6x2 = 8x2
1 + 8x2 = 7 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
1 + 8x2 = 7 + 0
1 + 8x2 = 7
Add '-1' to each side of the equation.
1 + -1 + 8x2 = 7 + -1
Combine like terms: 1 + -1 = 0
0 + 8x2 = 7 + -1
8x2 = 7 + -1
Combine like terms: 7 + -1 = 6
8x2 = 6
Divide each side by '8'.
x2 = 0.75
Simplifying
x2 = 0.75
Take the square root of each side:
x = {-0.866025404, 0.866025404}
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