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Simplifying
6x(3x + 5) = 6x(9x + 5)
Reorder the terms:
6x(5 + 3x) = 6x(9x + 5)
(5 * 6x + 3x * 6x) = 6x(9x + 5)
(30x + 18x2) = 6x(9x + 5)
Reorder the terms:
30x + 18x2 = 6x(5 + 9x)
30x + 18x2 = (5 * 6x + 9x * 6x)
30x + 18x2 = (30x + 54x2)
Add '-30x' to each side of the equation.
30x + -30x + 18x2 = 30x + -30x + 54x2
Combine like terms: 30x + -30x = 0
0 + 18x2 = 30x + -30x + 54x2
18x2 = 30x + -30x + 54x2
Combine like terms: 30x + -30x = 0
18x2 = 0 + 54x2
18x2 = 54x2
Solving
18x2 = 54x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-54x2' to each side of the equation.
18x2 + -54x2 = 54x2 + -54x2
Combine like terms: 18x2 + -54x2 = -36x2
-36x2 = 54x2 + -54x2
Combine like terms: 54x2 + -54x2 = 0
-36x2 = 0
Divide each side by '-36'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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