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Simplifying
5x2 + -3 = 142
Reorder the terms:
-3 + 5x2 = 142
Solving
-3 + 5x2 = 142
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 5x2 = 142 + 3
Combine like terms: -3 + 3 = 0
0 + 5x2 = 142 + 3
5x2 = 142 + 3
Combine like terms: 142 + 3 = 145
5x2 = 145
Divide each side by '5'.
x2 = 29
Simplifying
x2 = 29
Take the square root of each side:
x = {-5.385164807, 5.385164807}
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