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Simplifying
7x2 + -40 = 6x2 + 8
Reorder the terms:
-40 + 7x2 = 6x2 + 8
Reorder the terms:
-40 + 7x2 = 8 + 6x2
Solving
-40 + 7x2 = 8 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
-40 + 7x2 + -6x2 = 8 + 6x2 + -6x2
Combine like terms: 7x2 + -6x2 = 1x2
-40 + 1x2 = 8 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
-40 + 1x2 = 8 + 0
-40 + 1x2 = 8
Add '40' to each side of the equation.
-40 + 40 + 1x2 = 8 + 40
Combine like terms: -40 + 40 = 0
0 + 1x2 = 8 + 40
1x2 = 8 + 40
Combine like terms: 8 + 40 = 48
1x2 = 48
Divide each side by '1'.
x2 = 48
Simplifying
x2 = 48
Take the square root of each side:
x = {-6.92820323, 6.92820323}
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