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Simplifying
4x(x + 6) = 6x(4x + 4)
Reorder the terms:
4x(6 + x) = 6x(4x + 4)
(6 * 4x + x * 4x) = 6x(4x + 4)
(24x + 4x2) = 6x(4x + 4)
Reorder the terms:
24x + 4x2 = 6x(4 + 4x)
24x + 4x2 = (4 * 6x + 4x * 6x)
24x + 4x2 = (24x + 24x2)
Add '-24x' to each side of the equation.
24x + -24x + 4x2 = 24x + -24x + 24x2
Combine like terms: 24x + -24x = 0
0 + 4x2 = 24x + -24x + 24x2
4x2 = 24x + -24x + 24x2
Combine like terms: 24x + -24x = 0
4x2 = 0 + 24x2
4x2 = 24x2
Solving
4x2 = 24x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24x2' to each side of the equation.
4x2 + -24x2 = 24x2 + -24x2
Combine like terms: 4x2 + -24x2 = -20x2
-20x2 = 24x2 + -24x2
Combine like terms: 24x2 + -24x2 = 0
-20x2 = 0
Divide each side by '-20'.
x2 = 0.0
Simplifying
x2 = 0.0
Take the square root of each side:
x = {0.0}
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