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Simplifying
5x2 + 10 = 3x2 + 138
Reorder the terms:
10 + 5x2 = 3x2 + 138
Reorder the terms:
10 + 5x2 = 138 + 3x2
Solving
10 + 5x2 = 138 + 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.
10 + 5x2 + -3x2 = 138 + 3x2 + -3x2
Combine like terms: 5x2 + -3x2 = 2x2
10 + 2x2 = 138 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
10 + 2x2 = 138 + 0
10 + 2x2 = 138
Add '-10' to each side of the equation.
10 + -10 + 2x2 = 138 + -10
Combine like terms: 10 + -10 = 0
0 + 2x2 = 138 + -10
2x2 = 138 + -10
Combine like terms: 138 + -10 = 128
2x2 = 128
Divide each side by '2'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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