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Simplifying
6x2 + -4(7 + 3) = 0
Combine like terms: 7 + 3 = 10
6x2 + -4(10) = 0
Multiply -4 * 10
6x2 + -40 = 0
Reorder the terms:
-40 + 6x2 = 0
Solving
-40 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '40' to each side of the equation.
-40 + 40 + 6x2 = 0 + 40
Combine like terms: -40 + 40 = 0
0 + 6x2 = 0 + 40
6x2 = 0 + 40
Combine like terms: 0 + 40 = 40
6x2 = 40
Divide each side by '6'.
x2 = 6.666666667
Simplifying
x2 = 6.666666667
Take the square root of each side:
x = {-2.581988898, 2.581988898}
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