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Simplifying
5(6x + 7)(6x + -7) = 20
Reorder the terms:
5(7 + 6x)(6x + -7) = 20
Reorder the terms:
5(7 + 6x)(-7 + 6x) = 20
Multiply (7 + 6x) * (-7 + 6x)
5(7(-7 + 6x) + 6x * (-7 + 6x)) = 20
5((-7 * 7 + 6x * 7) + 6x * (-7 + 6x)) = 20
5((-49 + 42x) + 6x * (-7 + 6x)) = 20
5(-49 + 42x + (-7 * 6x + 6x * 6x)) = 20
5(-49 + 42x + (-42x + 36x2)) = 20
Combine like terms: 42x + -42x = 0
5(-49 + 0 + 36x2) = 20
5(-49 + 36x2) = 20
(-49 * 5 + 36x2 * 5) = 20
(-245 + 180x2) = 20
Solving
-245 + 180x2 = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '245' to each side of the equation.
-245 + 245 + 180x2 = 20 + 245
Combine like terms: -245 + 245 = 0
0 + 180x2 = 20 + 245
180x2 = 20 + 245
Combine like terms: 20 + 245 = 265
180x2 = 265
Divide each side by '180'.
x2 = 1.472222222
Simplifying
x2 = 1.472222222
Take the square root of each side:
x = {-1.213351648, 1.213351648}
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