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Simplifying
37 = 5x2 + -8
Reorder the terms:
37 = -8 + 5x2
Solving
37 = -8 + 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
37 + -5x2 = -8 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
37 + -5x2 = -8 + 0
37 + -5x2 = -8
Add '-37' to each side of the equation.
37 + -37 + -5x2 = -8 + -37
Combine like terms: 37 + -37 = 0
0 + -5x2 = -8 + -37
-5x2 = -8 + -37
Combine like terms: -8 + -37 = -45
-5x2 = -45
Divide each side by '-5'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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