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Simplifying
6x(x + 1) = (2x + 4)(x + 1)
Reorder the terms:
6x(1 + x) = (2x + 4)(x + 1)
(1 * 6x + x * 6x) = (2x + 4)(x + 1)
(6x + 6x2) = (2x + 4)(x + 1)
Reorder the terms:
6x + 6x2 = (4 + 2x)(x + 1)
Reorder the terms:
6x + 6x2 = (4 + 2x)(1 + x)
Multiply (4 + 2x) * (1 + x)
6x + 6x2 = (4(1 + x) + 2x * (1 + x))
6x + 6x2 = ((1 * 4 + x * 4) + 2x * (1 + x))
6x + 6x2 = ((4 + 4x) + 2x * (1 + x))
6x + 6x2 = (4 + 4x + (1 * 2x + x * 2x))
6x + 6x2 = (4 + 4x + (2x + 2x2))
Combine like terms: 4x + 2x = 6x
6x + 6x2 = (4 + 6x + 2x2)
Add '-6x' to each side of the equation.
6x + -6x + 6x2 = 4 + 6x + -6x + 2x2
Combine like terms: 6x + -6x = 0
0 + 6x2 = 4 + 6x + -6x + 2x2
6x2 = 4 + 6x + -6x + 2x2
Combine like terms: 6x + -6x = 0
6x2 = 4 + 0 + 2x2
6x2 = 4 + 2x2
Solving
6x2 = 4 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
6x2 + -2x2 = 4 + 2x2 + -2x2
Combine like terms: 6x2 + -2x2 = 4x2
4x2 = 4 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
4x2 = 4 + 0
4x2 = 4
Divide each side by '4'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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