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Simplifying
2(3x + 5)(3x + -5) = 0
Reorder the terms:
2(5 + 3x)(3x + -5) = 0
Reorder the terms:
2(5 + 3x)(-5 + 3x) = 0
Multiply (5 + 3x) * (-5 + 3x)
2(5(-5 + 3x) + 3x * (-5 + 3x)) = 0
2((-5 * 5 + 3x * 5) + 3x * (-5 + 3x)) = 0
2((-25 + 15x) + 3x * (-5 + 3x)) = 0
2(-25 + 15x + (-5 * 3x + 3x * 3x)) = 0
2(-25 + 15x + (-15x + 9x2)) = 0
Combine like terms: 15x + -15x = 0
2(-25 + 0 + 9x2) = 0
2(-25 + 9x2) = 0
(-25 * 2 + 9x2 * 2) = 0
(-50 + 18x2) = 0
Solving
-50 + 18x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 18x2 = 0 + 50
Combine like terms: -50 + 50 = 0
0 + 18x2 = 0 + 50
18x2 = 0 + 50
Combine like terms: 0 + 50 = 50
18x2 = 50
Divide each side by '18'.
x2 = 2.777777778
Simplifying
x2 = 2.777777778
Take the square root of each side:
x = {-1.666666667, 1.666666667}
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