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Simplifying
(x2 + -7) + 7(x2 + -7) + 10 = 0
Reorder the terms:
(-7 + x2) + 7(x2 + -7) + 10 = 0
Remove parenthesis around (-7 + x2)
-7 + x2 + 7(x2 + -7) + 10 = 0
Reorder the terms:
-7 + x2 + 7(-7 + x2) + 10 = 0
-7 + x2 + (-7 * 7 + x2 * 7) + 10 = 0
-7 + x2 + (-49 + 7x2) + 10 = 0
Reorder the terms:
-7 + -49 + 10 + x2 + 7x2 = 0
Combine like terms: -7 + -49 = -56
-56 + 10 + x2 + 7x2 = 0
Combine like terms: -56 + 10 = -46
-46 + x2 + 7x2 = 0
Combine like terms: x2 + 7x2 = 8x2
-46 + 8x2 = 0
Solving
-46 + 8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '46' to each side of the equation.
-46 + 46 + 8x2 = 0 + 46
Combine like terms: -46 + 46 = 0
0 + 8x2 = 0 + 46
8x2 = 0 + 46
Combine like terms: 0 + 46 = 46
8x2 = 46
Divide each side by '8'.
x2 = 5.75
Simplifying
x2 = 5.75
Take the square root of each side:
x = {-2.397915762, 2.397915762}
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