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Simplifying
5x2 + -8 + -3 = 0
Reorder the terms:
-8 + -3 + 5x2 = 0
Combine like terms: -8 + -3 = -11
-11 + 5x2 = 0
Solving
-11 + 5x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 5x2 = 0 + 11
Combine like terms: -11 + 11 = 0
0 + 5x2 = 0 + 11
5x2 = 0 + 11
Combine like terms: 0 + 11 = 11
5x2 = 11
Divide each side by '5'.
x2 = 2.2
Simplifying
x2 = 2.2
Take the square root of each side:
x = {-1.483239697, 1.483239697}
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