3(x+1)(x+2)-(3x-4)(x+2)=36

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Solution for 3(x+1)(x+2)-(3x-4)(x+2)=36 equation:


Simplifying
3(x + 1)(x + 2) + -1(3x + -4)(x + 2) = 36

Reorder the terms:
3(1 + x)(x + 2) + -1(3x + -4)(x + 2) = 36

Reorder the terms:
3(1 + x)(2 + x) + -1(3x + -4)(x + 2) = 36

Multiply (1 + x) * (2 + x)
3(1(2 + x) + x(2 + x)) + -1(3x + -4)(x + 2) = 36
3((2 * 1 + x * 1) + x(2 + x)) + -1(3x + -4)(x + 2) = 36
3((2 + 1x) + x(2 + x)) + -1(3x + -4)(x + 2) = 36
3(2 + 1x + (2 * x + x * x)) + -1(3x + -4)(x + 2) = 36
3(2 + 1x + (2x + x2)) + -1(3x + -4)(x + 2) = 36

Combine like terms: 1x + 2x = 3x
3(2 + 3x + x2) + -1(3x + -4)(x + 2) = 36
(2 * 3 + 3x * 3 + x2 * 3) + -1(3x + -4)(x + 2) = 36
(6 + 9x + 3x2) + -1(3x + -4)(x + 2) = 36

Reorder the terms:
6 + 9x + 3x2 + -1(-4 + 3x)(x + 2) = 36

Reorder the terms:
6 + 9x + 3x2 + -1(-4 + 3x)(2 + x) = 36

Multiply (-4 + 3x) * (2 + x)
6 + 9x + 3x2 + -1(-4(2 + x) + 3x * (2 + x)) = 36
6 + 9x + 3x2 + -1((2 * -4 + x * -4) + 3x * (2 + x)) = 36
6 + 9x + 3x2 + -1((-8 + -4x) + 3x * (2 + x)) = 36
6 + 9x + 3x2 + -1(-8 + -4x + (2 * 3x + x * 3x)) = 36
6 + 9x + 3x2 + -1(-8 + -4x + (6x + 3x2)) = 36

Combine like terms: -4x + 6x = 2x
6 + 9x + 3x2 + -1(-8 + 2x + 3x2) = 36
6 + 9x + 3x2 + (-8 * -1 + 2x * -1 + 3x2 * -1) = 36
6 + 9x + 3x2 + (8 + -2x + -3x2) = 36

Reorder the terms:
6 + 8 + 9x + -2x + 3x2 + -3x2 = 36

Combine like terms: 6 + 8 = 14
14 + 9x + -2x + 3x2 + -3x2 = 36

Combine like terms: 9x + -2x = 7x
14 + 7x + 3x2 + -3x2 = 36

Combine like terms: 3x2 + -3x2 = 0
14 + 7x + 0 = 36
14 + 7x = 36

Solving
14 + 7x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + 7x = 36 + -14

Combine like terms: 14 + -14 = 0
0 + 7x = 36 + -14
7x = 36 + -14

Combine like terms: 36 + -14 = 22
7x = 22

Divide each side by '7'.
x = 3.142857143

Simplifying
x = 3.142857143

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