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Simplifying
x(x + 6) + -3 = 6x + 1
Reorder the terms:
x(6 + x) + -3 = 6x + 1
(6 * x + x * x) + -3 = 6x + 1
(6x + x2) + -3 = 6x + 1
Reorder the terms:
-3 + 6x + x2 = 6x + 1
Reorder the terms:
-3 + 6x + x2 = 1 + 6x
Add '-6x' to each side of the equation.
-3 + 6x + -6x + x2 = 1 + 6x + -6x
Combine like terms: 6x + -6x = 0
-3 + 0 + x2 = 1 + 6x + -6x
-3 + x2 = 1 + 6x + -6x
Combine like terms: 6x + -6x = 0
-3 + x2 = 1 + 0
-3 + x2 = 1
Solving
-3 + x2 = 1
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + x2 = 1 + 3
Combine like terms: -3 + 3 = 0
0 + x2 = 1 + 3
x2 = 1 + 3
Combine like terms: 1 + 3 = 4
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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