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Simplifying
(6x + 10)(6x + -10) = 0
Reorder the terms:
(10 + 6x)(6x + -10) = 0
Reorder the terms:
(10 + 6x)(-10 + 6x) = 0
Multiply (10 + 6x) * (-10 + 6x)
(10(-10 + 6x) + 6x * (-10 + 6x)) = 0
((-10 * 10 + 6x * 10) + 6x * (-10 + 6x)) = 0
((-100 + 60x) + 6x * (-10 + 6x)) = 0
(-100 + 60x + (-10 * 6x + 6x * 6x)) = 0
(-100 + 60x + (-60x + 36x2)) = 0
Combine like terms: 60x + -60x = 0
(-100 + 0 + 36x2) = 0
(-100 + 36x2) = 0
Solving
-100 + 36x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + 36x2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 36x2 = 0 + 100
36x2 = 0 + 100
Combine like terms: 0 + 100 = 100
36x2 = 100
Divide each side by '36'.
x2 = 2.777777778
Simplifying
x2 = 2.777777778
Take the square root of each side:
x = {-1.666666667, 1.666666667}
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