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Simplifying
5x2 + 10 + -12 = 0
Reorder the terms:
10 + -12 + 5x2 = 0
Combine like terms: 10 + -12 = -2
-2 + 5x2 = 0
Solving
-2 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 5x2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 5x2 = 0 + 2
5x2 = 0 + 2
Combine like terms: 0 + 2 = 2
5x2 = 2
Divide each side by '5'.
x2 = 0.4
Simplifying
x2 = 0.4
Take the square root of each side:
x = {-0.632455532, 0.632455532}
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