3(x+4)(x+7)=(3x+12)(x+7)

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Solution for 3(x+4)(x+7)=(3x+12)(x+7) equation:


Simplifying
3(x + 4)(x + 7) = (3x + 12)(x + 7)

Reorder the terms:
3(4 + x)(x + 7) = (3x + 12)(x + 7)

Reorder the terms:
3(4 + x)(7 + x) = (3x + 12)(x + 7)

Multiply (4 + x) * (7 + x)
3(4(7 + x) + x(7 + x)) = (3x + 12)(x + 7)
3((7 * 4 + x * 4) + x(7 + x)) = (3x + 12)(x + 7)
3((28 + 4x) + x(7 + x)) = (3x + 12)(x + 7)
3(28 + 4x + (7 * x + x * x)) = (3x + 12)(x + 7)
3(28 + 4x + (7x + x2)) = (3x + 12)(x + 7)

Combine like terms: 4x + 7x = 11x
3(28 + 11x + x2) = (3x + 12)(x + 7)
(28 * 3 + 11x * 3 + x2 * 3) = (3x + 12)(x + 7)
(84 + 33x + 3x2) = (3x + 12)(x + 7)

Reorder the terms:
84 + 33x + 3x2 = (12 + 3x)(x + 7)

Reorder the terms:
84 + 33x + 3x2 = (12 + 3x)(7 + x)

Multiply (12 + 3x) * (7 + x)
84 + 33x + 3x2 = (12(7 + x) + 3x * (7 + x))
84 + 33x + 3x2 = ((7 * 12 + x * 12) + 3x * (7 + x))
84 + 33x + 3x2 = ((84 + 12x) + 3x * (7 + x))
84 + 33x + 3x2 = (84 + 12x + (7 * 3x + x * 3x))
84 + 33x + 3x2 = (84 + 12x + (21x + 3x2))

Combine like terms: 12x + 21x = 33x
84 + 33x + 3x2 = (84 + 33x + 3x2)

Add '-84' to each side of the equation.
84 + 33x + -84 + 3x2 = 84 + 33x + -84 + 3x2

Reorder the terms:
84 + -84 + 33x + 3x2 = 84 + 33x + -84 + 3x2

Combine like terms: 84 + -84 = 0
0 + 33x + 3x2 = 84 + 33x + -84 + 3x2
33x + 3x2 = 84 + 33x + -84 + 3x2

Reorder the terms:
33x + 3x2 = 84 + -84 + 33x + 3x2

Combine like terms: 84 + -84 = 0
33x + 3x2 = 0 + 33x + 3x2
33x + 3x2 = 33x + 3x2

Add '-33x' to each side of the equation.
33x + -33x + 3x2 = 33x + -33x + 3x2

Combine like terms: 33x + -33x = 0
0 + 3x2 = 33x + -33x + 3x2
3x2 = 33x + -33x + 3x2

Combine like terms: 33x + -33x = 0
3x2 = 0 + 3x2
3x2 = 3x2

Add '-3x2' to each side of the equation.
3x2 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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