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Simplifying
54 = (x + 7)(x + -7)
Reorder the terms:
54 = (7 + x)(x + -7)
Reorder the terms:
54 = (7 + x)(-7 + x)
Multiply (7 + x) * (-7 + x)
54 = (7(-7 + x) + x(-7 + x))
54 = ((-7 * 7 + x * 7) + x(-7 + x))
54 = ((-49 + 7x) + x(-7 + x))
54 = (-49 + 7x + (-7 * x + x * x))
54 = (-49 + 7x + (-7x + x2))
Combine like terms: 7x + -7x = 0
54 = (-49 + 0 + x2)
54 = (-49 + x2)
Solving
54 = -49 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
54 + -1x2 = -49 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
54 + -1x2 = -49 + 0
54 + -1x2 = -49
Add '-54' to each side of the equation.
54 + -54 + -1x2 = -49 + -54
Combine like terms: 54 + -54 = 0
0 + -1x2 = -49 + -54
-1x2 = -49 + -54
Combine like terms: -49 + -54 = -103
-1x2 = -103
Divide each side by '-1'.
x2 = 103
Simplifying
x2 = 103
Take the square root of each side:
x = {-10.148891565, 10.148891565}
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