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Simplifying
3x2 + 5 = 152
Reorder the terms:
5 + 3x2 = 152
Solving
5 + 3x2 = 152
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 3x2 = 152 + -5
Combine like terms: 5 + -5 = 0
0 + 3x2 = 152 + -5
3x2 = 152 + -5
Combine like terms: 152 + -5 = 147
3x2 = 147
Divide each side by '3'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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