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Simplifying
4x(5x + 3) = 2x(7x + 6)
Reorder the terms:
4x(3 + 5x) = 2x(7x + 6)
(3 * 4x + 5x * 4x) = 2x(7x + 6)
(12x + 20x2) = 2x(7x + 6)
Reorder the terms:
12x + 20x2 = 2x(6 + 7x)
12x + 20x2 = (6 * 2x + 7x * 2x)
12x + 20x2 = (12x + 14x2)
Add '-12x' to each side of the equation.
12x + -12x + 20x2 = 12x + -12x + 14x2
Combine like terms: 12x + -12x = 0
0 + 20x2 = 12x + -12x + 14x2
20x2 = 12x + -12x + 14x2
Combine like terms: 12x + -12x = 0
20x2 = 0 + 14x2
20x2 = 14x2
Solving
20x2 = 14x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14x2' to each side of the equation.
20x2 + -14x2 = 14x2 + -14x2
Combine like terms: 20x2 + -14x2 = 6x2
6x2 = 14x2 + -14x2
Combine like terms: 14x2 + -14x2 = 0
6x2 = 0
Divide each side by '6'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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