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Simplifying
x2 + 6x + -63 = 6x + 1
Reorder the terms:
-63 + 6x + x2 = 6x + 1
Reorder the terms:
-63 + 6x + x2 = 1 + 6x
Add '-6x' to each side of the equation.
-63 + 6x + -6x + x2 = 1 + 6x + -6x
Combine like terms: 6x + -6x = 0
-63 + 0 + x2 = 1 + 6x + -6x
-63 + x2 = 1 + 6x + -6x
Combine like terms: 6x + -6x = 0
-63 + x2 = 1 + 0
-63 + x2 = 1
Solving
-63 + x2 = 1
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '63' to each side of the equation.
-63 + 63 + x2 = 1 + 63
Combine like terms: -63 + 63 = 0
0 + x2 = 1 + 63
x2 = 1 + 63
Combine like terms: 1 + 63 = 64
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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