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Simplifying
4x2 + 8x2 + -140 = 0
Reorder the terms:
-140 + 4x2 + 8x2 = 0
Combine like terms: 4x2 + 8x2 = 12x2
-140 + 12x2 = 0
Solving
-140 + 12x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '140' to each side of the equation.
-140 + 140 + 12x2 = 0 + 140
Combine like terms: -140 + 140 = 0
0 + 12x2 = 0 + 140
12x2 = 0 + 140
Combine like terms: 0 + 140 = 140
12x2 = 140
Divide each side by '12'.
x2 = 11.66666667
Simplifying
x2 = 11.66666667
Take the square root of each side:
x = {-3.415650256, 3.415650256}
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