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Simplifying
5x2 + -7 = 3x2 + 11
Reorder the terms:
-7 + 5x2 = 3x2 + 11
Reorder the terms:
-7 + 5x2 = 11 + 3x2
Solving
-7 + 5x2 = 11 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
-7 + 5x2 + -3x2 = 11 + 3x2 + -3x2
Combine like terms: 5x2 + -3x2 = 2x2
-7 + 2x2 = 11 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
-7 + 2x2 = 11 + 0
-7 + 2x2 = 11
Add '7' to each side of the equation.
-7 + 7 + 2x2 = 11 + 7
Combine like terms: -7 + 7 = 0
0 + 2x2 = 11 + 7
2x2 = 11 + 7
Combine like terms: 11 + 7 = 18
2x2 = 18
Divide each side by '2'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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