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Simplifying
1 + x2 + 9x2 = 4x2 + 1 + 6
Combine like terms: x2 + 9x2 = 10x2
1 + 10x2 = 4x2 + 1 + 6
Reorder the terms:
1 + 10x2 = 1 + 6 + 4x2
Combine like terms: 1 + 6 = 7
1 + 10x2 = 7 + 4x2
Solving
1 + 10x2 = 7 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
1 + 10x2 + -4x2 = 7 + 4x2 + -4x2
Combine like terms: 10x2 + -4x2 = 6x2
1 + 6x2 = 7 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
1 + 6x2 = 7 + 0
1 + 6x2 = 7
Add '-1' to each side of the equation.
1 + -1 + 6x2 = 7 + -1
Combine like terms: 1 + -1 = 0
0 + 6x2 = 7 + -1
6x2 = 7 + -1
Combine like terms: 7 + -1 = 6
6x2 = 6
Divide each side by '6'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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