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Simplifying
(x + 7)(x + -7) + 2x = (x + 5) * 2
Reorder the terms:
(7 + x)(x + -7) + 2x = (x + 5) * 2
Reorder the terms:
(7 + x)(-7 + x) + 2x = (x + 5) * 2
Multiply (7 + x) * (-7 + x)
(7(-7 + x) + x(-7 + x)) + 2x = (x + 5) * 2
((-7 * 7 + x * 7) + x(-7 + x)) + 2x = (x + 5) * 2
((-49 + 7x) + x(-7 + x)) + 2x = (x + 5) * 2
(-49 + 7x + (-7 * x + x * x)) + 2x = (x + 5) * 2
(-49 + 7x + (-7x + x2)) + 2x = (x + 5) * 2
Combine like terms: 7x + -7x = 0
(-49 + 0 + x2) + 2x = (x + 5) * 2
(-49 + x2) + 2x = (x + 5) * 2
Reorder the terms:
-49 + 2x + x2 = (x + 5) * 2
Reorder the terms:
-49 + 2x + x2 = (5 + x) * 2
Reorder the terms for easier multiplication:
-49 + 2x + x2 = 2(5 + x)
-49 + 2x + x2 = (5 * 2 + x * 2)
-49 + 2x + x2 = (10 + 2x)
Add '-2x' to each side of the equation.
-49 + 2x + -2x + x2 = 10 + 2x + -2x
Combine like terms: 2x + -2x = 0
-49 + 0 + x2 = 10 + 2x + -2x
-49 + x2 = 10 + 2x + -2x
Combine like terms: 2x + -2x = 0
-49 + x2 = 10 + 0
-49 + x2 = 10
Solving
-49 + x2 = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + x2 = 10 + 49
Combine like terms: -49 + 49 = 0
0 + x2 = 10 + 49
x2 = 10 + 49
Combine like terms: 10 + 49 = 59
x2 = 59
Simplifying
x2 = 59
Take the square root of each side:
x = {-7.681145748, 7.681145748}
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